Question

PLEASE HELP What is the volume of the item described? An ice cream cone with a cone of radius 2 cm and height of 9 cm with a hemisphere of ice cream on top of radius 2 cm. Select the exact answer in terms of ​ π ​ and the approximate answer rounded to the nearest whole number. 147 cm³ ​ 683π cm³ 1403π cm³ 71 cm³ 523π cm³ 54 cm³

Answer 1

The answer(s) to this problem is:

52/3 * 3.14 cm^3

54 cm^3

Explanation:

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I know this is extremely late, but hopefully others can find use of this answer :)

Answer 2

The exact volume of ice cream cone is
`(16)/(3)\pi+12\pi=(52)/(3)\pi` cm³

and approximate value of ice cream cone is 54 cm³

Explanation:

Given : An ice cream cone with a cone of radius 2 cm and height of 9 cm with a hemisphere of ice cream on top of radius 2 cm.

We have to find the volume of the item described.

Below is the image of ice cream cone.

Volume of ice cream cone is given by volume of cone and volume of hemisphere.

Volume of cone =
`(1)/(3)\pi r^2h`

radius given (r) = 2 cm

Height (h) = 9 cm

Volume of cone =
`(1)/(3)\pi\cdot(2)^2\cdot 9`

Simplify, we get,

Volume of cone =
`12\pi`

Also, volume of hemisphere =
`(2)/(3)\pi r^3`

radius given (r) = 2 cm

volume of hemisphere =
`(2)/(3)\pi 2^3`

volume of hemisphere =
`(16)/(3)\pi`

Thus, The exact volume of ice cream cone is
`(16)/(3)\pi+12\pi=(52)/(3)\pi` and approximate value of ice cream cone is 54 cm³