Jagat Jitendra Matto Solutions for Chapter: Surface Area and Volume, Exercise 4: EXERCISE 16.4

The ratio of the radii of two cylinders of equal heights is $1:3$. Find the ratio of their volumes.

The volume of a cylinder of height $8 \mathrm{cm}$ is $1232{ \mathrm{cm}}^3$. Find its curved surface area and total surface area.

The volume of a circular iron rod of length $1 \mathrm{m}$ is $3850{ \mathrm{cm}}^3$. Find its radius.

A piece of metal pipe is $35 \mathrm{cm}$ long. The inner diameter of cross-section is $14 \mathrm{cm}$ and outer diameter is $16 \mathrm{cm}$. If the weight of metal is $10 \mathrm{gm}$ per ${\mathrm{cm}}^3$, what is the weight of the piece of pipe?

A well is dug $14 \mathrm{m}$ deep. Its radius is $2 \mathrm{m}$. The earth dug out is evenly spread out on a rectangular field of dimensions $10 \mathrm{m}\times 4 \mathrm{m}$. Find the height of the platform raised.

The circumference of the base of a cylinder is $88 \mathrm{cm}$ and its height is $30 \mathrm{cm}$. Find the volume of the cylinder.

A rectangular sheet of paper of dimensions $25 \mathrm{cm}\times 22 \mathrm{cm}$ is rolled along its width to form a cylinder. Find the volume of the cylinder so formed.

Find the cost of sinking a tube well $210 \mathrm{m}$ deep, having radius $1.5 \mathrm{m}$ at the rate of $₹3$ per ${\mathrm{m}}^3$. How much will it cost in cementing the inner curved surface at $₹25$ per square metre?