Consider a cylinder that has a volume of 160π cubic centimeters and a height of 10 centimeters. What is the volume of a similar cylinder whose base has an area of 4π square inches?
Consider a cylinder that has a volume of 160π cubic centimeters and a height of 10 centimeters. What is the volume of a similar cylinder whose base has an area of 4π square inches.
A=Pi.r^2
4Pi=Pi.r^2
4=r^2 take the sqrt of both sides
r=2 inches. 10cm/2.54=3.937 inches-the height of the cylinder.
V=Pi.h.r^2
V=3.141592 X 3.937 X 2^2
V=49.473790816. Cubic inches
V=49.473790816 X 2.54^3=810.73 Cubic cm. OR=258.06Pi- Cubic cm.
