Question

if the diameter of a small red beachball is 8 inches, then the cone with the same radius and a height of 8 inches would fit into the beachball times and the volume of the cone would be about

Answer 1

Volume of the cone would be 8.7 liters.

Volume is the amount of space occupied by an object in space.

• Different shapes occupies different amount of space and hence, they have different volumes.

Volume of the cone is defined as the capacity of the cone.

• Mathematically, Volume of cone = (1/3)$\pi$r²H

Radius of the beachball = 8 in = Radius of the cone = r

Height of the cone H = 8 in

Volume of cone = (1/3)$\pi$r²H  

= (1/3)$\pi$(8)²(8)

= (1/3)*$\pi$*(64)*(8)

= 170.67*$\pi$

= 536.38 in³

= 0.0087 m³

1 m³ = 1000 liters

therefore, volume of the cone would be about 8.7 liters.

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