Embibe Experts Solutions for Chapter: Surface Areas and Volumes, Exercise 1: Goa Board-2018

If the surface area of a sphere is $196\pi {\mathrm{cm}}^2$, then its radius is

Find the curved surface area of a right circular cylinder of diameter $7 \mathrm{cm}$ and height $11 \mathrm{cm}$. $(\text{Take} \mathrm{\pi }=\frac{22}{7} )$

A right circular cylinder having radius $6 \mathrm{cm}$ and height $15 \mathrm{cm}$ is full of ice-cream. The ice-cream is to be filled in cones of height $12 \mathrm{cm}$ and radius $3 \mathrm{cm}$ having a hemispherical top. Find the number of such cones that are required to empty the cylinder. (Take $\mathrm{\pi }=\frac{22}{7}$).

A metal cup is in the form of a frustum of a cone whose radii of bottom and top are $7 cm$ and $14 cm$ respectively, as shown in the figure. If the capacity of the cup is $2156{ \mathrm{cm}}^3$ , find the height of the cup. $\text{ (Use }\pi =\frac{22}{7}\text{ ) }$

A house has an overhead cylindrical tank which is filled by pumping water from an underground cuboidal tank. The dimensions of the cuboidal tank are $2.5 m\times 2 m\times 1.5 m$ and it is completely filled with water. The overhead tank which is empty, has a height of $2 m$ with radius of its base as $70 cm$. If water is pumped to fill the overhead tank completely with water, find the height of the water left in the cuboidal tank. $\text{ (Use }\pi =\frac{22}{7}\text{ ) }$.