Question

From a solid right circular cylinder of height 14 cm and base radius 6 cm a right circular cone of same height and same base radius is removed find the volume of the remaining solid

Answer 1

Answer:

solid right circular cylinder (h) = 14cm , base radius=6cm

Step-by-step explanation:

volume of cylinder = pi r 2h= 22/7 ×6×6×14=1584cm2 ans

Answer 2

Recall:

$\text {Volume of a cylinder }= \pi r^2h$

$\text {Volume of a cone }= \dfrac{1}{3} \pi r^2h$

Find the volume of the cylinder:

$\text {Volume of a cylinder }= \pi r^2h$

$\text {Volume of a cylinder }= \pi (6)^2(14)$

$\text {Volume of a cylinder }= 504 \pi \text{ cm}^2$

Find the volume of the cone:

$\text {Volume of a cone }= \dfrac{1}{3} \pi r^2h$

$\text {Volume of a cone }= \dfrac{1}{3} \pi (6)^2(14)$

$\text {Volume of a cone }= 168 \pi \text { cm}^3$

Find the volume of the remaining solid:

$\text{Remaining} = 504 \pi - 168 \pi$

$\text{Remaining} = 336 \pi \text { cm}^3$

$\text{Remaining} = 1056 \text { cm}^3$

Answer: 1056 cm³