The cottage has a round pool (cylinder). If the diameter of the pool is 24 feet and the pool is 5 feet deep, find the volume of the pool in cubic feet

Question

The volume of a right cylinder or prism is V = (area of the base)(height of prism). This is expressed as V = BH. For a swimming pool, the height of the prism is the depth of the pool.

The area of a circle is A = r2. Use 3.14 for the value of 

 

 

Volume of a Round Pool

a. The cottage has a round pool (cylinder). If the diameter of the pool is 24 feet and the pool is 5 feet deep, find the volume of the pool in cubic feet. b. If there are 7.48 gallons of water in a cubic foot, how many gallons of water will fit in the pool? Round the answer to the nearest integer

Answer 1

With the information given we know that:

volume of a cylinder (V)= area of base x height = (pi x r^2) x height

 

We know that the diameter is 24 ft and the depth (or height in this case) is 5 ft

Diameter is 2 x radius so D=2r   24=2r   r=12

 

a)Plug this information into the equation:

V= pi x 12^2 x 5

V= pi x 144 x 5

V= 2260.8 ft^3 = 2261 ft^3

 

b) 7.48 gal = 1 ft^3

2260.8 ft^3 x 7.48 gal/ 1ft^3 = 302 gal of water in the pool