R. D. Sharma Solutions for Chapter: Surface Area and Volume of a Right Circular Cone, Exercise 2: EXERCISE

Find the volume (in ${\mathrm{cm}}^3$) of a right circular cone with:

(i) radius $6 \mathrm{cm},$ height $7 \mathrm{cm}.$

Find the volume of a right circular cone with:

$\left(ii\right)$ radius $3.5 \mathrm{cm},$ height $12 \mathrm{cm}$

If the volume of a right circular cone with height $21 \mathrm{cm}$ and slant height $28 \mathrm{cm}$ is $k {\mathrm{cm}}^3$, find $k$.

Find the weight of a solid cone whose base is of diameter $14\mathrm{cm}$ and vertical height $51\mathrm{cm},$ supposing the material of which it is made weighs $10 \mathrm{grams}$ per $\mathrm{cubic}$$\mathrm{cm}$.

Find the volume of the largest right circular cone that can be fitted in a cube whose edge is $14 \mathrm{cm}.$

The volume of a right circular cone is $9856 {\mathrm{cm}}^3$. If the diameter of the base is $28 \mathrm{cm},$ find:

 height of the cone

The volume of a right circular cone is $9856 {\mathrm{cm}}^3$. If the diameter of the base is $28 \mathrm{cm},$ find:

slant height of the cone.

A conical pit of top diameter $3.5 \mathrm{m}$ is $12 \mathrm{m}$ deep. What is its capacity in$\mathrm{kilolitres}$?