0
The volume of a cylinder is pi*(radius)^2*height. We are not given the radius here, but we know the circumference. Circumference is 2*pi*radius. So radius is equal to the circumference/(2*pi). We can then substitute this into the equation for volume to get: V=pi*(circumference/(2*pi))^2*height=(circumference)^2/(4*pi)*height.
_________________________________________________________________
For your problem we have circumference=84 inches and height=32 inches. So:
(84 inches)^2/(4*pi)*32 inches=7056 square inches/(4*pi)*32 inches=1764 square inches/pi*32 inches=56448 cubic inches/pi=17967.9564553 cubic inches which is about 17968 cubic inches.
Still curious? Ask our experts.
Chat with our AI personalities
Vivi
Ezra
LaoAdd your answer:
Earn +20 pts
What is the volume of an cylinder that measures 18 inch high and has a diameter of 9 inch?
The volume of a cylinder that measures 18 inches high and has a diameter of 9 inches is 1,145.11 cubic inches.
How much water does it take to fill a twenty four inch pipe by one foot long?
Assuming cylinder: volume = area of circle * length area of circle = pi*radius**2 radius = circumference/(2*pi) radius = diameter/2 if 24 inch is circumference: volume = pi*(24/(2*pi))**2 * 12 volume = 144/pi*12 volume = 1728/pi inch**3 if 24 inch is diameter: volume = pi*(24/2)**2 * 12 volume = pi*144*12 volume = pi*1728 inch**3 if 24 inch is radius: volume = pi*24**2 * 12 volume = pi*576*12 volume = pi*6912 inch**3 if 24 in
How many cubic feet in a cylinder with an 18 inch diameter and 2.25 inches high?
The volume is approximately 0.3315 cubic feet.
What is the volume of a cylinder with a 3 inch radius and a 10 inch height?
Volume = pi*r2*h = 282.7433 cubic inches
What is the volume of a 14 inch diameter cylinder 48 inches tall?
28
