SOLUTION: Volume of a cylindrical can is V=pi r^2 h where r is the radius and h is the height. The volume of the can is 98 in^3 and the height of the can is 5 in. Find the diameter of the

Question 196320: Volume of a cylindrical can is V=pi r^2 h where r is the radius and h is the height. The volume of the can is 98 in^3 and the height of the can is 5 in.
Find the diameter of the can and the area of both bases together.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Volume of a cylindrical can is V=pi r^2 h where r is the radius and h is the height. The volume of the can is 98 in^3 and the height of the can is 5 in.
Find the diameter of the can and the area of both bases together.
.
Plug the given information into our equation and solve for r:
V=pi r^2 h
98=(3.14)(r^2)(5)
98/(3.14*5) = r^2
98/15.7 = r^2
6.242 = r^2
2.4984 inches = r
.
Diameter = 2r = 2(2.4984) = 5 inches
Area of both bases = 2(pi)r^2 = (2)(3.14)(2.4984)^2 = 39.2 sq inches
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