Question

Find the ratio, reduced to lowest terms, of the volume of a sphere with a radius of 5 inches to the volume of a sphere with a radius of 10 inches. The ratio is (Type an integer or a simplified fraction)

Answer 1

Answer: The ratio is $1:8\ or\ \dfrac{1}{8}$

Step-by-step explanation:

Since we have given that

Radius of first sphere = 5 inches

Radius of second sphere = 10 inches

We need to find the ratio of volume of first sphere to volume of second sphere:

As we know the formula for "Volume of sphere ":

$Volume=\dfrac{4}{3}\pi r^3$

So, it becomes,

Ratio of first volume to second volume is given by

$\dfrac{4}{3}\pi (5)^3:\dfrac{4}{3}\pi (10)^3\\\\=5^3:10^3\\\\=125:1000\\\\=1:8$

Hence, the ratio is $1:8\ or\ \dfrac{1}{8}$