An ice cream cone with a diameter of 2 inches and a height of 3.5 inches is filled with ice cream and more ice cream on top in t
he form of a hemisphere with the radius equal to the radius of the cone. Compute the total volume of ice cream it contains.
1 answer:
Answer:
11pi/6 in^3 or
5.760 in^3 to the nearest thousandth.
Step-by-step explanation:
Volume of ice cream = volume of the cone + volume of the hemisphere
= 1/3 pi r^2 h + 1/2 * 4/3 pi r^3
= 1/3 pi 1^2 * 3.5 + 2/3 pi 1^3 (as the radius = 1/2 * diameter)
= (7/6 + 2/3) pi
= 11pi/6 in^3.
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B is your answer
Step-by-step explanation:
The applicable proportion is
... x/(53 ft) = (3 in)/(1.5 ft)
Multiplying by 53 ft gives
... x = (3 in)×(53 ft)/(1.5 ft)
... x = 106 in . . . . . . . . the length representing 53 ft
