Question

Mike has a cylindrical barrel in the barn to keep water for his cows. The barrel is 4.5 feet tall and has a diameter of 3 feet. Approximately how many gallons of water will the barrel hold if 1 cubic foot ≈ 7.5 gallons?

Answer 1

Answer: 238.43

Step-by-step explanation:

Answer 2

238.5 gallons

Explanation:

Given data

h=4.5ft

d=3ft

r= 3/2= 1.5ft

The volume of a cylinder is given as

V= πr^2h

substitute

V= 3.124*1.5^2*4.5

V= 3.142*2.25*4.5

V= 31.8ft^3

Let us convert the volume from cubic foot to gallons

We are given that 1 cubic foot ≈ 7.5 gallons

Hence 31.8ft^3 is equal to x gallons

cross multiply

x= 31.8*7.5

x= 238.5 gallons

Hence the volume in gallons is 238.5 gallons