Question

The volume of a shhere is 288pi cm3. The radius of the sphere is

Answer 1

Answer:

r=6cm

Step-by-step explanation:

the volume of a sphere formula is 4/3 pi r^3

4/3pi r^3=288pi  is given

r^3=288*3/4  =>864/4(pi cancels out)

r^3=216  , which gives us the answer!!

the radius is 6 cm .

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Answer 2

Given:

The volume of a sphere is 288pi cm3.

To find:

We have to find the radius of the sphere.

Solution:

To determine the radius of the sphere we have to follow the below steps as follows-

The volume of a sphere is given as-

$V=\dfrac{4}{3}πr^3$.

Where V is the volume of the sphere= 288π.

r is the radius of the sphere.

Putting the value in the above formula we get-

$288\pi = \frac{4}{3} \pi {r}^{3} \\ {r}^{3} = \frac{288 \times 3}{4} \\ {r}^{3} = 72 \times 3 \\ {r}^{3} = 216 \\ r = 6$

The radius of the sphere is 6cm.