Question

A spherical mini donut hole has a diameter of 6 centimeters. A large spherical donut hole has a diameter of 9 centimeters. Approximately how much greater is the volume of a large donut hole than the volume of a mini donut hole?
86 cm³

113 cm³

226 cm³

268 cm³

Answer 1

I think its 113......

Answer 2

Solution:

we are given that

A spherical mini donut hole has a diameter of 6 centimeters.

A large spherical donuts hole has a diameter of 9 centimetres.

we have been asked to find

Approximately how much greater is the volume of a large donuts hole than the volume of a mini donuts hole?

As we know the volume of the sphere is given by the formula

$V=\frac{4}{3} \pi r^3\\ \\ \text{So volume of smaller Spherical(r=6/2=3) hole can be given as }\\ \\ V_1= \frac{4}{3} \pi *3^3\\ \\ \text{So volume of larger Spherical hole(r=9/2=4.5) can be given as }\\ \\ V_1= \frac{4}{3} \pi *4.5^3\\ \\ \text{So Difference in volume}=\frac{4}{3} \pi *4.5^3-\frac{4}{3} \pi *3^3\\ \\ \text{Simplify we get}\\ \\ \text{So Difference in volume} \approx 268 cm^3$

Hence the correct option is 268 cm^3