Question

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. The answer is not

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

71 cm³

52/3π cm³ Incorrect

147 cm³

54 cm³ this is Correct bc it is simple form

1403π cm³

Answer 1

The volume of item described = 52π

Explanation:

Formula:-

Volume of cone = 1/3(πr²h)

Volume of hemisphere = 2/3(πr³)

Where r is the radius and h height

It is given that,

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

To find the volume of cone

r = 2cm and h = 9 cm

Volume = 1/3(πr²h) = 1/3(π*2²*9) = 12π

To find the volume of hemisphere

r = 2 cm

Volume = 2/3(πr³) = 2/3(π*2³) = 16/3 π

To find the total volume

Total volume = volume of cone + volume of hemisphere

Total volume = 12π + 16/3 π = 52π/3

Therefore the correct answer is 52π/3