Professor Ivy wants to buy a pool and has 2 choices, a rectangular pool that is 12.5 feet by 50 feet by 90 inches deep, or a cylindrical pool that has a 2 meter radius and is 10 meter deep. Round to one decimal and use proper units for all answers.

Example:    1.2 ft^2       3.4 in^3

Determine the volume of the rectangular pool. 

Determine the volume of the cylindrical pool. 

Which pool will have the larger volume? Complete the sentence below. 3

The rectangular pool will be  than the cylindrical pool.

Answer:

Volume of rectangular pool = 4687.5 ft³

Volume of cylindrical pool = 4439.1 ft³

The rectangular pool will be  248.4 ft³ greater than the cylindrical pool?

Step-by-step explanation

Volume of recatngular pool = Length x Width x depth

= 50 x 12.5 x (90/12) (90 inch = 90/12 feet)

= 4687.5 ft³

Volume of cylindrical pool = ?π? x r² x h

where r = radius = 2 m and h = height = 10 m

Therefore

Volume of cylindrical pool = ?π? x r² x h

= ?π? x 2² x 10

= 125.7 m³

Also 1 m³ = 31.3147 ft³

125.7 m³ = (125.7 x 31.3147 ) ft³ = 4439.1 ft³

Volume of cylindrical pool = 125.7 m³ = 4439.1 ft³

Clearly , Volume of rectangular pool is greater than the cylindrical pool

Difference in pool = Volume of rectangular pool - Volume of cylindrical pool = 4687.5 - 4439.1

= 248.4 ft³

The rectangular pool will be  248.4 ft³ greater than the cylindrical pool