Question

HELP PLEASE!

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. ​ 683π cm³ 54 cm³ 71 cm³ 147 cm³ 1403π cm³ 523π cm³
PICK 2

Answer 1

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➷ Formula for volume of cone:

1/3
`\pi r^2*h`

Substitute the values in:

1/3
`\pi (2)^2*9`

Leave it in terms of pi:

volume of the cone = 12
`\pi`

A hemisphere is half of a sphere so we use the formula for volume of a sphere and halve it.

volume of hemisphere = (4/3
`\pi r^3`) / 2

Substitute the values in:

(4/3
`\pi (2)^3`) / 2

Leave it in terms of pi:

volume of the hemisphere = 16/3
`\pi`

Now add the two volumes together:

12
`\pi` + 16/3
`\pi` = 52/3
`\pi`

The two answers would be : 52/3
`\pi` cm^3 and 54 cm^3

✽

➶ Hope This Helps You!

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