Jenny baked a circular cake with a diameter of 9 inches and a height of 5 inches. She cuts the cake into 16 equal slices. What is the approximate volume of each slice of cake?
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volume of each piece=πr^2h/16
=22×4.5×4.5×5/(7×16)=19.88 so approx 20 cubic inches
=22×4.5×4.5×5/(7×16)=19.88 so approx 20 cubic inches
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Find the radius:
Radius = Diameter ÷ 2
Radius = 9 ÷ 2 = 4.5 inches
Find the volume of the cake:
Volume = πr²h
Volume = π(4.5)²(5)
Volume = 318.21 in³
Find the volume of 1 slice:
16 slices = 318.21 in³
1 slice = 318.21 ÷ 16 = 19.89 ≈ 20 in³
Answer: The volume of 1 slice of cake is approximately 20 in³
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