Question

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The volume of a sphere is 36 ft. What is the radius of the sphere? Use the formula V = ar to find your
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answer.
The radius of the sphere is
feet.

Answer 1

Answer:

Radius of sphere = 3 feet

Step-by-step explanation:

The volume of sphere is 36 π ft³.

We need to find the radius of sphere.

The formula used is: $Volume\:of\:sphere=\frac{4}{3}\pi r^3$

Putting value of volume and finding radius

$Volume\:of\:sphere=\frac{4}{3}\pi r^3\\36\pi =\frac{4}{3}\pi r^3\\r^3=36 \pi \times \frac{3}{4\pi} \\r^3=9 \times 3\\r^3=27\\Taking\:cube\;root\:on \:both\:sides\\\sqrt[3]{r^3}=\sqrt[3]{27}\\r=3$

So, Radius of sphere = 3 feet