Volume of Solids

Q.

Pyramid $A$ is a square pyramid with a base side length of $12inches$ and a height of $8inches$. Pyramid $B$ is a square pyramid with a base side length of $36inches$ and a height of $24inches$. How many times bigger is the volume of pyramid $B$ than pyramid $A$?

1. $54$

2. $15$

3. $27$

4. $75$

Q. Volume of a cylinder = 36 cm${}^3$, then volume of cone having same height and radius is:

1. $9c{m}^3$
2. $12c{m}^3$
3. $15c{m}^3$
4. $18c{m}^3$

Q. Outer surface area of a hollow iron sphere is $1256c{m}^2$. If thickness of iron is $1cm$. Find its capacity.

1. $3052c{m}^3$​
2. $1526c{m}^3$​
3. $9156c{m}^3$​
4. $6104c{m}^3$​

Q.

An iron pillar consists of a cylindrical portion $2.8m$ high and $20cm$ in diameter and a cone $42cm$ high is surmounting it. Find the weight of the pillar, given that $1c{m}^3$ of iron weighs $7.5g$.