Question

Alyssa is designing a cone to scoop water from a tank. She figured that the scoop should hold approximately 66 in3 of liquid. The diameter of her cone is 6. 5 in. What should be the height of the cone? Round your answer to the nearest whole number.

Answer 1

The height of the cone, to the nearest whole number is: 6 inches.

What is the Volume of a Cone?

Volume of cone = 1/3(πr²h)

r is radius and h is the height of the cone.

Given:

Volume of cone = 66 in.³

Diameter = 6.5 in.

Radius (r) = 6.5/2 = 3.25 in.

Height (h) = ?

Plug in the values

66 = 1/3(π)(3.25²)(h)

66 = 11.1h

66/11.1 = h

h = 6 in.

Therefore, the height of the cone, to the nearest whole number is: 6 inches.

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