A can of pineapple chunks has a height of 17 cm and a volume of 68?cm3. A can of diced tomatoes is the same height, but its diameter is 6 cm greater. What is the volume of the can of tomatoes?

A can of pineapple chunks has a height of 17 cm and a volume of 68?cm3. A can of diced tomatoes is the same height, but its diameter is 6 cm greater. What is the volume of the can of tomatoes?

Solution

V = pi* r^2 * h

68pi = pi * r^2 * 17

r^2 = 4

r = 2 cm

Diameter is 6 cm greater

=> Radius is 3 cm greater.

r = 2 + 3 = 5cm

V = pi * 5^2 * 17

V = 425 pi

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