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 .
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