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 c
one 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.
2 answers:
Answer:
471 cm³
Step-by-step 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
Answer:
Step-by-step 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
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