Question

A ball has a volume of 86π cubic centimeters. What is the diameter of the ball?

Answer 1

Answer:

Step-by-step explanation:

formula V = 4 / 3πr³

Answer 2

Diameter of the ball is equals to $2\sqrt[3]{ \frac{129}{2} }$ centimeter for the given volume of the ball.

What is volume?

" Volume is defined as the total space occupied by  3-dimensional object."

Formula used

Volume of the sphere = $\frac{4}{3} \pi r^{3}$

Diameter = 2 (radius)

According to the question,

Given,

Volume of the ball = $86\pi$

'r' represents the radius of the ball

Substitute the value in the formula of the volume of the sphere we get,

$\frac{4}{3} \pi r^{3} = 86\pi$

⇒$r^{3} = \frac{(86)(3)}{4}$

⇒$r=\sqrt[3]{\frac{129}{2} }$

⇒$2r=2(\sqrt[3]{\frac{129}{2} })$

⇒ diameter  $=2(\sqrt[3]{\frac{129}{2} })$ centimeter.

Hence, diameter of the ball is equals to $2\sqrt[3]{ \frac{129}{2} }$ centimeter for the given volume of the ball.

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