Maharashtra Board Solutions for Chapter: Surface Area and Volume, Exercise 4: Problem set 9

If diameter of a road roller is $0.9 \mathrm{m}$ and its length is $1.4 \mathrm{m}$, how much area in ${\mathrm{m}}^2$of a field will be pressed in its $500$ rotations?

To make an open fish tank, a glass sheet of $2 \mathrm{mm}$ gauge is used. The outer length, breadth and height of the tank are $60.4 \mathrm{cm}$, $40.4 \mathrm{cm}$ and $40.2 \mathrm{cm}$ respectively. How much maximum volume of water in ${\mathrm{cm}}^3$ will be contained in it?

If the ratio of radius of base and height of a cone is $5:12$ and its volume is $314$ cubic metre. Find its perpendicular height and slant height.$(\mathrm{\pi }=3.14)$

Find the radius of a sphere in $\mathrm{cm}$, if its volume is $904.32 \mathrm{cubic} \mathrm{cm}$. $(\mathrm{\pi }=3.14)$

Total surface area of a cube is $864 \mathrm{sq}.\mathrm{cm}$. Find its volume in ${\mathrm{cm}}^3$.

Find the volume of the sphere, if its surface area is $154 \mathrm{sq}.\mathrm{cm}$.

Total surface area of a cone is $616 \mathrm{sq}. \mathrm{cm}$. If the slant height of the cone is three times the radius of its base, find its slant height.

The inner diameter of a well is $4.20$ metre and its depth is $10$ metre. Find the inner surface area of the well. Find the cost of plastering it from inside at the rate of $₹52$ per square metre..