A baby pool is shaped like a short, wide cylinder and holds 52 ft3 of water. A medium pool measures 4 times the height and width of the baby pool. How much water will the medium pool hold? A. 1045 ft3 B. 2812 ft3 C. 2920 ft3 D. 3328 ft3

Step-by-step explanation:

Given

Volume of baby pool = 52ft³

Required

Determine the volume of the medium pool

Volume of a cylinder is calculated as:

Hence, the volume of the baby pool is:

where r and h are the radius and height of the baby pool

Represent the height and radius of the medium pool as H and R

From the given parameters in the question

and

and

The volume of the medium cylinder is calculated as

Substitute 4h for H and 4r for R

Open bracket

Collect like terms

Recall that

So, the expression becomes

Hence, the medium pool can hold of water

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