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2 A right cylinder with a base that has a radius of 6 inches is shown below. Its volume is 396m.

V=лr²h
What is the height, in feet, of the cylinder? Round to the nearest tenth.
Show your work.

User Orazio
by
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1 Answer

5 votes

ANSWER:

  • 11.48 feet

Explanation:

As per the given statement -

A right cylinder with ,

  • Radius of base = 6 inches
  • Volume = 396

Volume of the cylinder can be calculated as :

  • V = πr²h

here

  • r denotes radius
  • h denotes height
  • π = 3.14

Plugging the values in the above formula


396 = 3.14 * (6)^2 * h \\ \\ 396 = 3.14 * 36 * h \\ \\ 396 = 113.06 * h \\ \\ h = (396)/(113.06 ) \\ \\ { \pink{{ \boxed{h \approx 3.5 \: m}}}}

In feet,

1 metre = 3.2808 feet

3.5 metre = 3.2808 ft × 3.5

= 11.48 feet (approximately)

Hence, The the height, in feet, of the cylinder is 11.48 feet

User Tranvutuan
by
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