Question

Find the amount of ice cream in a cone if the radius of the cone is 5 cm and its height is 8 cm. The ice cream fully fills the cone and the hemisphere of ice cream on the top has a radius of 5 cm.

Help I have one last attempt and I can not figure this out.

Answer 1

Explanation:

We have to find the volume of the cone + volume of hemisphere.

Amount of ice cream= volume of the cone + volume of the hemisphere

Volume of the cone: πr²h/3=π*(5 cm)²*8 cm / 3=200π cm³ / 3 ≈209.44 cm³

Volume of the hemisphere=((4/3)πr³) / 2=(4/6)π(5 cm)³≈261.8 cm³

Amount of ice cream=209.44 cm³ + 261.8 cm³=471.24 cm³

Answer=471.24 cm³

Answer 2

471 cm³

Explanation:

Volume = cone + hemisphere

= [⅓×pi×r²×h] + [⅔×pi×r³]

= ⅓pi×r²[h + 2r]

= ⅓×3.14×5²[8 + 2(5)]

= (157/6)(18)

= 471

This is using pi as 3.14

A slightly different value of pi will alter the final answer