Question

A cone is mounted on a hemisphere of radius r cm and height of the cone h cm then the volume of solid is
​

Answer 1

Answer:

Step-by-step explanation:

VOLUME OF SOLID = VOLUME OF CONE + VOLUME OF HEMISPHERE

VOLUME OF SOLID = $\frac{1}{3} * \pi r^{2} h + \frac{2}{3} \pi r^{3}$

hence proved hope this helped

Answer 2

The volume of the solid = $\frac{1}{3} \pi r^2 \left( h+2 r\right)$ cubic cm.

Solution:

Given data:

Radius of the cone = r cm

Height of the cone = h cm

To find the volume of the cone:

Volume of the cone = $\frac{1}{3}\times \pi r^2 h$ cubic cm

Radius of the hemisphere = r cm

To find the volume of the hemisphere:

Volume of the hemisphere = $\frac{2}{3}\times \pi r^3$ cubic cm

Volume of the solid = Volume of the cone + Volume of the hemisphere

                                $=\frac{1}{3}\times \pi r^2 h+\frac{2}{3}\times \pi r^3$

Take the common terms out side.

                                $=\frac{1}{3} \pi r^2 \left( h+2 r\right)$ cubic cm

The volume of the solid = $\frac{1}{3} \pi r^2 \left( h+2 r\right)$ cubic cm.

To learn more...

1. A cone is mounted on a hemisphere of radius r centimetre and hieght of the cone h cm then the volume of the solid is​.

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2. Find the area of iron rod of length 2m 30cm and breadth 1m 20cm mention the area in square metre

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