Question

Stacy hits the jackpot one day at the gumball machine. She puts in a quarter and gets 4 gumballs rather than 1. The radius of each gumball is 6 mm. What is the total volume of all 4 gumballs?

Answer 1

Answer:Use the formula for the total volume of a sphere:

V represents your volume, and r represents the radius.

Plug your radius into the formula.

The total volume of a single gumball will be 288π cubic millimeters.

Because you have 4 gumballs, multiply the total volume of a gumball by 4 to find the total volume for all 4 gumballs.

In terms of π, the total volume of the 4 gumballs is 1152π cubic millimeters.

Assuming π = 3.14, multiply 1152 and 3.14 together.

The total volume of the 4 gumballs, simplified, is 3617.28 cubic millimeters.

Explanation:

Answer 2

Use the formula for the total volume of a sphere:


`V = (4)/(3) \pi r^(3)`

V represents your volume, and r represents the radius.

Plug your radius into the formula.


`V = (4)/(3) \pi (6)^(3)`


`6^(3) = 216`


`V = (4)/(3) \pi 216`


`216 * (4)/(3) = 288`


`V = 288 \pi`

The total volume of a single gumball will be 288π cubic millimeters.

Because you have 4 gumballs, multiply the total volume of a gumball by 4 to find the total volume for all 4 gumballs.


`288 \pi * 4 = 1152 \pi`

In terms of π, the total volume of the 4 gumballs is 1152π cubic millimeters.

Assuming π = 3.14, multiply 1152 and 3.14 together.


`1152 * 3.14 = 3617.28`

The total volume of the 4 gumballs, simplified, is 3617.28 cubic millimeters.