Question

Rimshot was comparing two spheres one with a 30-cm radius and one with a 60-cm radius how many times greater is the volume of the larger sphere

Answer 1

Step-by-step explanation:

Radius of first sphere is 30 cm.

Volume of first sphere is :

$V_1=\dfrac{4}{3}\pi r_1^3\\\\V_1=\dfrac{4}{3}\times 3.14\times (30)^3\\\\V_1=113040\ cm^3$

Radius of second sphere is 60 cm.

Volume of second sphere is :

$V_2=\dfrac{4}{3}\pi r_2^3\\\\V_2=\dfrac{4}{3}\times 3.14\times (60)^3\\\\V_2=904320\ cm^3$

Dividing volume of second sphere to that of volume of first sphere. So

$\dfrac{V_2}{V_1}=\dfrac{904320}{113040}\\\\\dfrac{V_2}{V_1}=8\\\\V_2=8V_1$

So, the volume of the larger sphere is 8 times of the volume of smaller sphere.