Question

Zuri made 2 spheres using plaster. The smaller sphere has a radius of 6 cm. The larger sphere has a radius of 24 cm.

How much greater a volume of plaster did Zuri use for the larger sphere?

Use 3.14 to approximate pi. Round to the nearest hundredth if necessary.

Enter your answer in the box.

Answer 1

Explanation:

I'm just gonna answer and the answer is 64

Answer 2

Since we are dealing with volume, when one object is 4 times bigger than another, the difference in volume is 4^3 = 64.

6 cm sphere = 4/3 *PI * 6^3
6 cm sphere = 4/3 *PI * 216
6 cm sphere = 904.78 cc

24 cm sphere = 4/3 *PI * 24^3
24 cm sphere = 4/3 *PI * 13,824
24 cm sphere = 57,905.84 cc

Comparing the volumes: 57,905.84 / 904.78 = 64