Question

The solid is in the shape of a cylinder with two hemispheres stuck to each of its ends as shown in the figure. The radius of the cylinder and hemisphere are equal to 'r' cm. if the height of the cylinder is 'h'cm.The volume of the solid​

Answer 1

VOLUME OF SOLID = VOLUME OF CYLINDER+2 (VOLUME OF HEMISPHERE)

=πr² h+2 (2/3πr³)

=πr²h + 4/3πr³

PLEASE MARK AS BRAINLIEST.

XD.

Answer 2

Answer:

The volume of the required solid =  πr²(h +  $\frac{4}{3}$r)

Step-by-step explanation:

Given,

The shape of the solid is a cylinder with two hemispheres stuck to each of its ends.

The radius of the cylinder = radius of the hemisphere = 'r'cm

Height of the cylinder = 'h'cm

To find,

The volume of the solid

Recall the formula

The volume of the cylinder = πr²h, where 'r' is the radius and 'h' is the height of the cylinder

The volume of the hemisphere = $\frac{2}{3}$πr³, where 'r' is the radius of the cylinder

Solution:

The volume of the solid = Volume of the cylinder + 2 ×Volume of the hemisphere

=  πr²h + 2 × $\frac{2}{3}$πr³

= πr²h +  $\frac{4}{3}$πr³

= πr²(h +  $\frac{4}{3}$r)

∴ The volume of the required solid =  πr²(h +  $\frac{4}{3}$r)

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