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1. Either increasing the radius or the height of a cylinder by six inches will result in the same volume. The original height of the cylinder is two inches. What is the original radius in inches?

2. Kadin makes a snowman by stacking snowballs of radius 2 inches, 3 inches, and 5 inches. Assuming all his snowballs are spherical, what is the total volume of snow he uses, in cubic inches? Express your answer in terms of .

Sep 14, 2020

#1
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1. The original radius was 12 inches.

2. The total volume of the snow is 26*pi.

Sep 14, 2020
#2
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I figured 1 out on my own so I only need help with 2

Sep 14, 2020
#3
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2. Kadin makes a snowman by stacking snowballs of radius 2 inches, 3 inches, and 5 inches. Assuming all his snowballs are spherical, what is the total volume of snow he uses, in cubic inches? Express your answer in terms of pi.

Total volume     V = (4/3*pi*23) + (4/3*pi*33) + (4/3*pi*53)

V = 640 pi / 3             ( 670.206 inches squared)

If you use all 3 snowballs to make a single snowball, its radius will be 5.4288 inches. V = 4*pi*5.42883 / 3 = 670.206 inch3

Sep 14, 2020
edited by jugoslav  Sep 14, 2020
edited by jugoslav  Sep 14, 2020
edited by jugoslav  Sep 14, 2020
edited by jugoslav  Sep 14, 2020
edited by jugoslav  Sep 14, 2020
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Instead of inches squared should be cubic inches jugoslav  Sep 14, 2020