Find the missing dimension of the cylinder. Round your answer to the nearest whole number. Volume = 10,000π in.3 diameter= 32in
39
π*16^2 * h = 10000π
go with oobleck's equation, I missed the π with the 10000π
Thank you!!
To find the missing dimension of the cylinder, we'll start by using the formula for the volume of a cylinder:
Volume = π * r^2 * h
Given that the diameter of the cylinder is 32 inches, we can find the radius by dividing the diameter by 2:
radius = diameter / 2 = 32 / 2 = 16 inches
We're also given that the volume is 10,000π cubic inches. So, we can set up the equation as:
10,000π = π * 16^2 * h
Simplifying:
10,000π = 256π * h
Canceling out the π on both sides:
10,000 = 256h
Now, we can solve for h:
h = 10,000 / 256 ≈ 39.06 inches
Rounding to the nearest whole number, the missing dimension (height) of the cylinder is 39 inches.
(1 ft³ ≈ 7.5 gal)
Volume of cylinder = π r^2 h
you know the volume
you know diameter = 32, so r = 16
which means you solve for h
10000 = π(16^2)(h)
go for it