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Maths-

General

Easy

Question

A Solid is in the form of a cylinder with hemispherical ends. The total height of solid is 19 cm and the diameter of the cylinder is 7 cm , Find the volume of the solid ?

hint Hint:

Volume of cylinder $equals pi r squared h$

The correct answer is: 641.66cm3

Explanation:

A Solid is in the form of a cylinder with hemispherical ends. The total height of solid is 19cm and the diameter of the cylinder is 7cm.

We have to find the volume of solid.

Step 1 of 1:
The volume of the solid is sum of volume of cylinder and volume of hemisphere.
Let be the radius of cylinder and be the height of the cylinder. Then,
$r equals 7 over 2 cm$
= 3.5cm
And
h = 19 - 2 $cross times$ 3.5
=12cm
Also, Radius of hemisphere will be $7 over 2 space c m space equals space 3.5 c m$
Now,
The volume of the solid is sum of volume of cylinder and volume of hemisphere
$equals pi r squared h plus 2 over 3 pi r cubed$
$equals pi 3.5 squared cross times 12 plus 2 over 3 pi 3.5 cubed$
$equals 641.66 cm cubed$
Therefore the volume of the solid will be 641.66cm³.

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