Question

You are curious about the amount of coffee that the giant fountain cup could

actually hold.

The dimensions of the fountain cup are as follows:

• Height is 8 feet.

• Diameter of the top is 6 feet.

• Diameter of the base is 4 feet.

Use this formula with height, h, radius of the base, base, and radius of the

top, "top, to determine the volume of the cup:

V =

(an) ((base)? + (Pbase) (Ftop) + (rtop) 3).

There are 7. 5 gallons of liquid per cubic foot.

Enter the volume, in gallons, of the fountain cup.

Answer 1

Assuming there are 7. 5 gallons of liquid per cubic foot. The volume of the cup is: 1,193.8 gallons.

Volume of the cup

Using this formula

V =πh/3 [(r base)²+ ( r base) (r top) + (r top) ²]

Where:

height of cup (h)= 8 feet

radius of base of cup (r base)= 4 feet/2=2 feet

radius of top of cup (r top)= 6 feet/2=3 feet

Let plug in the formula

V =πh/3 [(8)²+ (2) (3) + (3) ²]

V =πh/3×8×19

V=152 π/3

Hence:

Volume of the cup in gallons=152 π/3 ×7.5

Volume of the cup in gallons=477.52208334564/3×7.5

Volume of the cup in gallons=1,193.8gallons

Therefore the volume of the cup is: 1,193.8 gallons.

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