The figure is made up of a cylinder and a cone. What is the exact volume of the figure? Enter your answer in the box. 60 ft3 $/text{Basic}$BasicBasic 789:Divided by456*Multiplied by123-0.,+PlusLeftRightBackspace=Equals $x$x $y$y $x^2$x2 $/sqrt{ }$√ $/frac{x}{ }$ x $x/frac{ }{ }$x $x^{ }$x $x_{ }$x ±$%$/degree$° :$/left (/right) $ () $/abs{ }$ $/pi$π $/infty$∞ A shape made up of a cone on top of a cylinder. The cylinder has a height of four feet and a radius of three feet. The cone has a radius of three feet and a height of five feet.

Question

Shiloh Padilla

Mathematics

3 November, 03:58

The figure is made up of a cylinder and a cone. What is the exact volume of the figure? Enter your answer in the box. 60 ft3 $/text{Basic}$BasicBasic 789:Divided by456*Multiplied by123-0.,+PlusLeftRightBackspace=Equals $x$x $y$y $x^2$x2 $/sqrt{ }$√ $/frac{x}{ }$ x $x/frac{ }{ }$x $x^{ }$x $x_{ }$x ±$%$/degree$° :$/left (/right) $ () $/abs{ }$ $/pi$π $/infty$∞ A shape made up of a cone on top of a cylinder. The cylinder has a height of four feet and a radius of three feet. The cone has a radius of three feet and a height of five feet.

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Answers (1)

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Chessie · Answer 1

Since this is a composite figure. You figure the volume of the cone and cylinder separately then add the two together. Exact volume means you leave just the way it is now

Volume of a cone

V = πr²h/3

V = π (3) ² * 5/3

V = π (9) * 5/3

V=15 ft³

Volume of a cylinder

V = πr²h

V = π (3) ²*4

V = π (9) * 4

V = 36π ft³

Total volume = 36π ft³ + 15π ft³

Total volume = 51 ft³