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sergejj [24]
3 years ago
9

Find the volume of a right circular cone that has a height of 15.2 cm and a base with a diameter of 11.9 cm. Round your answer t

o the nearest tenth of a cubic centimeter.
Mathematics
1 answer:
postnew [5]3 years ago
3 0

9514 1404 393

Answer:

  563.5 cm³

Step-by-step explanation:

Use the formula for the volume of a cone:

  V = (1/3)πr²h

Recognize that the radius is half the diameter:

  r = (11.9 cm)/2 = 5.95 cm

  V = (1/3)π(5.95 cm)²(15.2 cm) ≈ 563.516 cm³

The volume of the cone is about 563.5 cm³.

_____

<em>Additional comment</em>

If you use 3.14 for the value of π, then the result will be 563.2 cm³.

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Answer:

Approximately 439.6 square millimeters.

Step-by-step explanation:

The formula for the surface area of a cone is the following:

A=\pi r^2+\pi r l

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The radius is 7 and the slant height is 13. We also use 3.14 for π Thus:

A=(3.14)(7)^2+(3.14)(7)(13)\\\text{Use a Calculator}\\A\approx 439.6

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