Question

A cone and a hemisphere of radius 7 cm each are joined to a cylinder of same radius on either sides of it if the height of cylinder is 10 cm and the total height of the solid is 23 cm find the volume of solid ​

Answer 1

The answer is 7700/3 cm^3 or 2566.66 cm^3

Please refer to the attached image.

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Answer 2

The volume of solid=$2566.67cm^3$

Step-by-step explanation:

Radius of cylinder=Radius of cone=Radius of hemisphere=7cm

Total height of solid=23cm

Height of cylinder=10cm

Height of cone=23-(10+7)=6cm

Volume of solid=Volume of cylinder+volume of cone+volume of hemisphere

Volume of solid=$\pi r^2h_1+\frac{1}{3}\pi r^2h_2+\frac{2}{3}\pi r^3$

Volume of solid=$\frac{22}{7}\times (7)^2(10)+\frac{22}{7\times 3}\times (7)^2(6)+\frac{2}{3}\times \frac{22}{7}\times (7)^3$

Volume of solid=$\frac{22}{7}\times (7)^2(10+2+\frac{14}{3})$

Volume of solid==$154\times (\frac{30+6+14}{3})=154\times \frac{50}{3}=2566.67cm^3$

Hence, the volume of solid=$2566.67cm^3$

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