Question

Find the volume of the recycled material used in making the solid as shown in figure . it is given that diameter of cylinder is 20 cm and diameter of each of two equal conical cavity is 10 cm​

Answer 1

The volume of the recycled material used in making the solid is  6914.28 cm³.

Step-by-step explanation:

The dimension of the Cylinder:

Diameter, d = 20 cm

∴ Radius, r = d/2 = 20/2 = 10 cm

Height, h = 24 cm

∴ The volume of the cylinder = πr²h = $\frac{22}{7}$ × 10² × 24 = 7542.85 cm³

The dimension of the each cone:

Diameter of the base, d = 10 cm

∴ Radius, r = d/2 = 10/2 = 5 cm

Height, h = 12 cm

∴ The volume of 2 conical cavities is,

= 2 * [$\frac{1}{3}$ * πr²h]

= 2 * [$\frac{1}{3}$ * $\frac{22}{7}$ * 5² * 12]

= 628.57 cm³

Thus,

The volume of the recycled material used in making the solid is given by,

= [volume of the cylinder] - [volume of 2 conical cavities]

= 7542.85 cm³ - 628.57 cm³

= 6914.28 cm³

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