Surface area of cone - class-IX
Description: surface area of cone | |
Number of Questions: 85 | |
Created by: Jatin Goyal | |
Tags: mensuration perimeter, area and volume maths solids surface area and volume of solids surface areas and volumes surface area and volume cylinder, cone and sphere |
The lateral surface area (in ${cm}^{2}$) of a cone with height $3$ cm and radius $4$ cm is:
Find the total surface area of a cone, if its slant height is $9\ m$ and the radius of its base is $12\ m$.
The diameter of a cone is $14\ cm$ and its slant height is $9\ cm$. Find the area of its curved surface.
Slant height of a cone is 13 cm and radius is 7 cm its lateral surface area is
The circumference of the base of a 10 m high conical tent is 44 metres Then the length of canvas used in making the tent if width of canvas is 2 m is (Use $\displaystyle \pi =22/7$)
The volume of a right circular cone of height $8 cm$ and radius of base $3 cm$ is
The circumference of the base of a 9 m high wooden solid cone is 44 m The slant height of the cone is
The total surface area of a cone is $\displaystyle 770cm^{2}$ If its slant height is four times the radius of the cone the diameter fo the cone is
The radius and the slant height of a cone are in the ratio 7:13 and the curved surface area is $\displaystyle 286cm^{2}$ Find its radius
The radius of a conical tent is 12 m and the slant height is 5.6 m Find the length of canvas required to make the tent it the width of canvas is 4 m
The length of the longest pole that can be kept inside a room of dimensions $12m\times 3\sqrt 3m \times 5 m$ is
The curved surface area of a cone of slant height l and radius r is given by
If a sphere has the same curved surface area as total surface area of cone of vertical height 40 cm and radius 30 cm then the radius of the sphere is
The cost of canvas required for a conical tent of height 8 m and diameter of base 12 m at the rate of Rs 3.50 per $\displaystyle m^{2}$ is
The volume of the cone whose vertical height is 8 m and the area of base $ \displaystyle 156 m^{2} $ is
A conical tent of radius of 12 m and height 16 m is to be made, then the cost of canvas required at the rate Rs 10 per $ \displaystyle m^{2} $ is
The curved surface area of a right circular cone of height 84 cm and diameter 70 cm is
The slant height of a right circular cone is 10 m and its height is 8 cm then the area of its curved surface is
The total area of sheet required to make an open cone of height 24 cm and radius 7 cm is
If the diameter of a right cone is 6 cm and its vertical height is 4 cm then its curved surface area is
If the area of the base of a right circular cone is 51 $ \displaystyle m^{2} $and volume is 68 $ \displaystyle m^{3} $ then its vertical height is
The radii of two right circular cone are int eh ratio of 4 : 5 and their slant heights are in the ratio 2:3 Then the ratio of their curved surfaces is
The circumference of the base of a $24$ m high conical tent is $44$ m Calculate the length of canvas used in making the tent if the width of the canvas is $2$ m
The slant height of a cone is $ 40$ m, the radius of the base is $12$ m. Find the curved surface area of a cone.
The formula used for surface area of cone is ($s$ denotes slant height.)
The curved surface area of the cone is $\pi r l$ whereas, total surface area of the cone is
If the circumference at the base of a right circular cone and the slant height are $120\pi$ $cm$ and $10cm$ respectively, then the curved surface area of the cone is equal to
Two right circular cones have equal radii. If their slant heights are in the ratio $4:3$, then their respective curved surface areas are in the ratio
The curved surface area of a right circular cone of height $15$ cm and base diameter $16$ cm is __________.
The area of the base of a cone is $616\, cm^2$ and its height is 48 cm. The total surface area of cone is
The base radii of a cone and a cylinder are equal. If their curved surface areas are also equal, then the ratio of the slant height of the cone to the height of the cylinder is
The height of a conical tent at the center is $5 m$, the distance of any point on its circular base from the top of the tent is $13 m$. The area of the slant surface is
If the base area of a cone is 616 sq.cm., its height is
48cm, then its slant height is
If the base radius and slant height of a right circular cone are $10 \,cm$ and $3.5 \,cm$ respectively, then its total surface area is
If the radius of the base of a right circular cone is $2 \,cm$ and its slant height is $3.5 \,cm$, then its curved surface area is
Diameter of the base of a cone is $10.5$cm and its slant height is $10$cm. Find its curved surface area.
If a right circular cone having maximum volume, is inscribed in a sphere of radius 3 cm, then the curved surface area (in ${ cm }^{ 2 }$ ) of this cone is
The $T.S.A$ of a cone whose $d=14\ cm$, $h=24\ cm$
The curved surface area of a cone of radius $7$ cm and height $24$ cm is
Mark the correct alternative of the following.
A right circular cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is?
Mark the correct alternative of the following.
If the base radius and the height of a right circular cone are increased by $20\%$, then the percentage increase in volume is approximately.
Mark the correct alternative of the following.
The total surface area of a cone of radius $\dfrac{r}{2}$ and length $2l$, is?
If the radius of the base and the height of a right circular cone are respectively $21$ cm and $28$ cm, then the curved surface area of the cone is $\displaystyle \left(\pi\, =\, \frac{22}{7}\right)$
A conical tent with base-radius $7$ m and height $24$ m is made from $5$ m wide canvas. The length of the canvas used is $\displaystyle \left( \pi\, =\, \frac{22}{7}\right)$
If the radius and slant height of a cone are in the ratio $4 : 7$ and its curved surface area is $792 cm^{2}$, then its radius is $\displaystyle \left(\pi\, =\, \frac{22}{7}\right)$.
If the curved surface area of a right circular cone is $12,320 cm^{2}$ and its base radius is $56$ cm, then its height is $\displaystyle \left(\pi\, =\, \frac{22}{7}\right)$
What length of tarpaulin $3$ m wide will be required to make conical tent of height $8$ m and base radius $6$ m? Assume that the extra length of material that will be required for stitching margins and wastage in cutting is approximately $20$ cm.
A joker's cap is in the form of a right circular cone of base radius $7$ cm and height $24$ cm. Find the area of the sheet required to make $100$ such caps.
The slant height and base diameter of a conical tomb are $25$ m and $14$ m respectively. Find the cost of white washing its curved surface at the rate of Rs. $210$ per $100{m}^{2}$.
The length of canvas $1.1$ m wide required to build a conical tent of height $14$ m and the floor area $346.5{m}^{2}$, is
The area of the base of a cone is $616$ sq.cm. Its height is $48cm$. What is its total surface area ?
A circus tent is in the form of a cone over a cylinder. The diameter of the base is $9$ m, the height of cylindrical part is $4.8$ m and the total height of the tent is $10.8$ m. The canvas required for the tent is ..........
The radius of a cone is $3\ cm$ and vertical height is $4\ cm$. Find the area of the curved surface.
The radius of the base of a conical tent is $7\space m$. The tent is $24\space m$ high. Find the cost of the canvas required to make the tent, if one square meter of canvas costs $Rs. 180$ (Take $\pi = 3.14$)
The radius and height of a cone are in the ratio $4:3$. The area of the base is $154\space cm^2$. Find the area of the curved surface.
The curved surface area of of a right cone is $\displaystyle 286m^{2}$ and its slant height is 13 m then area of the base is
The total surface area of cone if its slant height is 9 m, and the radius of its base is 12 m is
The curved surface area of a cone of slant height l and radius r is given by
A cylindrical rod of lenght h is meted and cast into a cone of base radius twice that of the cylinder What is the height of the cone?
The canvas required to construct a cone of height $24$ m and base radius $7$ m is
Find the surface area of a cone whose radius is $12$ m and the slant height is $23$ m.
Find the surface area of a cone whose radius is $20$ cm and the slant height is $0.3$ cm. (use $\displaystyle \pi =3.14$)
The curved surface area of a cone is $\displaystyle 320{\ m }^{ 2 }$ whose radius is $7$ m. Find the surface area of a cone. (Assume $\displaystyle \pi =\frac { 22 }{ 7 } $)
Calculate the surface area of a cone whose radius is $\dfrac{1}{3}$ cm and slant height is $12$ cm.
A cone has a radius of $2$ cm and height of $3$ cm, find total surface area of the cone.
A conical water tank has a radius of $0.2$ mm and height of $1.2$ mm, find total surface area of the tank.
Calculate the surface area of cone whose curved surface area is $\displaystyle 100{ \ cm }^{ 2 }$ and its radius $200$ cm.
Find the surface area of a conical hat. If its slant height is three times the radius, the base diameter of a hat is $4$ inches. (Use $\displaystyle \pi =3$)
Find the total surface area of a cone, if its radius $14$ m and slant height $49$ m. (Use $\displaystyle \pi =\frac { 22 }{ 7 } $).
The total surface area of a conical jar is $\displaystyle 740{ ft }^{ 2 }$. If its slant height is two times the radius, then what is the base diameter of the colical jar? (use $\displaystyle \pi =3$).
What is the total surface area of a cone if its diameter =${ 1}$ ft and slant height = $12$ ft. (use $\displaystyle \pi =3.14$).
An ice cream cone has radius of $21$ m and height of $20$ m. Find total surface area of the cone.
What is the total surface area of a cone, if its radius = 5 cm and height = $\displaystyle\sqrt2 $cm?
The total surface area of a conical tent is $ 920$ square meter and its radius $14$ m. Find the slant height. (Round off your answer to the nearest whole number).
A closed cone tank radius $7$ cm and height $10$ cm is made from a sheet of aluminium. How much sheet is required?
Find the radius of the base of a right circular cone which has a lateral surface area of $6\pi$ and a slant height of $6$ ( in standard units )
Find the radius of the base of a cone having a slant height of $8$ and a lateral area of $48\pi$.
Find the slant height and vertical height of a Cone with radius $5.6$ cm and curved surface area $158.4$ cm$^2$.
Find the area of canvas required for a conical tent whose height is $3.5$ m and the radius of the base is $12$ m.
The curved surface area of right circular cone with height $24$ m and radius $7$ m is
A cone and a cylinder have the same base area. They also have the same curved surface area. If the height of the cylinder is $3$ m, then the slant height of the cone (in m) is
The curved surface area of a right circular cone with height $24$ cm and radius $7$ cm is
Consider two cones, the curved surface area of one being twice that of the other and the slant height of the later being twice that of the former. The ratio of the radius of the later cone to that of the former is
The curved surface area of a right cone is $\displaystyle 286 m^{2}$ and its the slant height is 13 m, then volume is
The cost of the canvas required to make a conical tent of base radius $8$ m at the rate of Rs. $40$ per $\displaystyle m^{2}$ is Rs. $10,048$. Find the height of the tent .$\displaystyle \left ( Take\ \pi =3.14 \right )$