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s2008m [1.1K]
2 years ago
7

Alyssa is designing a cone to scoop water from a tank. She figured that the scoop should hold approximately 66 in3 of liquid. Th

e diameter of her cone is 6. 5 in. What should be the height of the cone? Round your answer to the nearest whole number.
Mathematics
1 answer:
MrMuchimi2 years ago
7 0

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

<h3>What is the Volume of a Cone?</h3>

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.

Learn more about volume of cone on:

brainly.com/question/14278632

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A number plus itself, plus twice itslef, plus 4 times itself, is equal to -104. what is the number?
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Let's represent this unknown number with the variable 'n'
n + n + 2n + 4n = -104

Explanations:
'n+n' - a number plus itself
'+2n' - plus twice itself
'+4n' - plus 4 times itself


Anyway:
n + n + 2n + 4n = -104
Simplify:
8n = -104
Divide both sides by 8:
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