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

Use the formula for the total volume of a sphere:

$V = \frac{4}{3} \pi r^{3}$

V represents your volume, and r represents the radius.

Plug your radius into the formula.

$V = \frac{4}{3} \pi (6)^{3}$

$6^{3} = 216$

$V = \frac{4}{3} \pi 216$

$216 * \frac{4}{3} = 288$

$V = 288 \pi$

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.

Answer 2

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.

Step-by-step explanation: