Question

(a) Cup A has a diameter of 10 cm. and a height of 20 cm. Find the Volume of Cup A.
(b) Determine how many cups of punch the punch bowl will fill using Cup size A. Round the number of scoops to the nearest whole number, and make certain to show your work.
(c) Cup B has a diameter of 20 cm. and a height of 20 cm. Find the volume of Cup B.
(d) Determine how many cups of punch the punch bowl will fill using Cup size B. Round the number of scoops to the nearest whole number, and make certain to show your work.
Can someone help me with this?

Answer 1

The volume of cup A is 1570.8 cm³ while the volume of cup B is 6283 cm³

Volume

Volume is the amount of space occupied by a three dimensional object or figure.

The cup has the shape of a cylinder, the volume is:

Volume = π * radius² * height

For cup A:

Volume = π * (10/2)² * 20 = 1570.8 cm³

Let each punch be 1 cm³, the number of cups needed = 1570.8 cm³ / 1 cm³ = 1571

For cup B:

Volume = π * (20/2)² * 20 = 6283 cm³

Let each punch be 1 cm³, the number of cups needed = 6283 cm³ / 1 cm³ = 6283

The volume of cup A is 1570.8 cm³ while the volume of cup B is 6283 cm³

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