Hollow cylinder - class-VIII
Description: hollow cylinder | |
Number of Questions: 53 | |
Created by: Sanjiv Memon | |
Tags: maths mensuration - iii area and volume of cylinder cylinder, cone and sphere surface area and volume surface areas and volumes perimeter, area and volume mensuration |
The volume, V $cm^{2}$, of a hollow cylindrical pipe of length $l$ cm, outer radius R cm and inner radius r cm is given by the formula : $V\, =\, \pi\, (R^{2}\, -\, r^{2}).\, l$
An iron pipe $20\space cm$ long has exterior diameter equal to $25\space cm$. If the thickness of the pipe is $1\space cm$, find the whole surface area of the pipe.
The diameters of two cylinders are in the ratio of 2:1 and their volumes are equal. The ratio of their heights will be _________.
If the volume of a cylinder is $448\pi:cm^3$ and height 7 cm, its total surface area will be ______________.
200 wooden balls each of diameter 70 mm are to be painted Find the cost of painting these balls at 10 paise/$\displaystyle cm^{2}$
A rectangular paper of dimensions 6 cm and 3 cm is rolled to form a cylinder with height equal to the width of the paper, then its base radius is
The curved surface of a circular cylinder of height 'h' and the curved surface area of the cone of slant height 2 'h' having the same circular base are in the ratio of
A hollow sphere of internal and external radii 3 cm and 4 cm respectively is malted into a cylinder of diameter 37 cm The height of the cylinder is
A cistern $6$ m long and $4$ m wide contains water to a depth of $1.25$ m. What is the area of wetted surface?
The outer and inner diameters of a circular pipe are $6$ cm and $4$ cm respectively. If its length is $10$ cm then what is the total surface area in square centimetres?
What will be the volume of a sphere of diameter $15\ cm$? (Correct up to $2$ decimal place)
What will be the radius of a sphere whose surface area is 616 $cm^{2}$? (Use $\pi=\dfrac{22}{7}$)
If volume of sphere is $850$ $m^{3}$ then its radius and surface area are
If the radius of a sphere is doubled, then what is the ratio of new to the old surface area?
A test-tube consists of a hollow cylindrical tube joined to a hemi-spherical bown of the same internal radius. The whole tube holds $350$ cc of water and in the cylindrical portion falls $1$ cm if $19.64$ cc of water is removed. Find the length of the cylindrical portion of the tube. (Take $\pi =$ $22/7$)
The height of a hollow cylinder is $14cm$ if external diameter is $16cm$ and total curved surface area of the hollow cylinder is $1320sq.cm$, then its internal diameter is
The ratio between the radius of the base and the height of a cylinder is $2:3$. If its volume is $12936$ cu. cm, the total surface area of the cylinder is :
A cylinder and cone of equal base radius and equal height are given. Which of the following statement is true/
Find the volume of a solid cylinder whose radius is $14$cm and height $30$cm
the radii of two cylinders are in the ratio 2:3 and their height are in the ratio 5:3. ratio of their volume
A solid cylinder has a total surface area of $231cm^2$. Its curved surface area. Find the volume of the cylinder?
Volume of a cylinder when $d=7\ cm$ and $h=3\ cm$
A cylindrical pipe is made from a metal sheet of length 88 cm and breadth 20 cm. What is the volume of this pipe?
If sum of radius and height of a cylinder is 6, then its maximum volume is
Mark the correct alternative of the following.
Two cylindrical jars have their diameters in the ratio $3:1$, but height $1:3$. Then the ratio of their volumes is?
Mark the correct alternative of the following.
In a cylinder, if radius is doubled and height is halved, curved surface area will be?
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The radius of a wire is decreased to one-third. If volume remains the same, the length will become?
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If the height of a cylinder is doubled and radius remains the same, then volume will be?
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In a cylinder, if radius is halved and height is doubled, the volume will be?
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If the radius of a cylinder is doubled and the height remains same, the volume will be?
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The volume of a cylinder of radius r is $1/4$ of the volume of a rectangular box with a square base of side length x. If the cylinder and the box have equal heights, what is r in terms of x?
Mark the correct alternative of the following.
Two circular cylinders of equal volume have their heights in the ratio $1:2$. Ratio of their radii is?
Mark the correct alternative of the following.
The altitude of a right circular cylinder is increased six times and the base area is decreased one-ninth of its value. The factor by which the lateral surface of the cylinder increases, is?
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The height h of a cylinder equal the circumference of the cylinder. In terms of h, what is the volume of the cylinder?
Mark the correct alternative of the following.
If the heights of two cones are in the ratio of $1:4$ and the radii of their bases are in the ratio $4:1$, then the ratio of their volumes is?
A hollow cylindrical pipe is $21 \ cm$ long. If its outer and inner diameters are $10 \ cm$ and $6 \ cm$ respectively, them the volume of the metal used in making the pipe is $\displaystyle \left(Take\, \pi\, =\, \frac{22}{7}\right)$
If the volume of a vessel in the form of a right circular cylinder is 448 $\pi\, cm^{3}$ and its height is 7 cm, then the curved surface area of the cylinder is
A hollow iron pipe of $21 cm$ long and its external diameter is $8 cm$. If the thickness of the pipes is $1 cm$ and iron weights $\displaystyle 8g/cm^{2}$, then the weight of the pipe is equal to
A rectangular sheet of width $14$ m is rolled along its width and is converted to form a cylinder. Find the radius of cylinder.
In a cylinder, if the radius is halved and height is doubled, the curved surface area will
The circumference of base of cylindrical reservoir is $\displaystyle 30\pi cm$ and height is $10$ cm. How many litres of water can it hold?
The inner diameter of a circular well is $3.5$ m. It is $10$ m deep. Find the cost of plastering this curved surface at the rate of Rs. $40$ per m$^2$.
The height of a hollow cylinder is $7 cm$ and its radius is $3.5 cm$. Then the surface area is
A magnet is in the form of a ring with inner diameter $4cm$ and outer diameter $6cm$. If the thickness of the magnet is $2cm$ . What is the cost of fabricating the surface of the magnet if the cost of fabrication per ${cm}^{2}$ is $Rs.10$
A flower pot is in the form of a hollow cylinder with a closed base with inner radius $2cm$ and outer radius $4cm$ . The height of the flower pot is $10cm$ . If the pot has to be polished find the cost of polishing if the cost of polishing per ${cm}^{2}$ is $Rs.2$.
What will be the Inner surface area of a spherical shell of inner radius $15\ cm$ and outer radius $16\ cm$? (Correct upto 2 decimal places)
The surface area of a solid sphere is always greater than the surface area of a hemisphere for the same value of radius.
A hemispherical bowl has inner radius $5cm$ and outer radius $6cm$. What will be the volume of solid enclosed between the two hemispheres? (Correct upto 2 decimal places)
The surface area of a solid spherical ball of diameter $10\ cm$ is equal to :
What will be the Inner and Outer radius of a spherical shell of inner surface area $452.39\ {cm}^2$ and outer surface area $804.25\ {cm}^2$ ? (Surface areas are accurate upto 2 decimal places)
The value of radius for which the numerical value of total surface area of a sphere and the volume of sphere are equal, will be:(Consider the units of volume and surface area as ${cm}^3\ \text{and}\ {cm}^2$)
The increase in the total surface area of a sphere of Radius ${R}$ when it is cut to make two hemispheres of same Radius will be equal to:
The height of a cylinder is $14 { cm }$ and its $ { CSA }$ is $264 { cm } ^ { 2 },$ then cylinder is.........${ cm }^{ { 3 } }$