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Find the volume of a right circular cone that has a height of 17.7 cm and a base with a diameter of 15.8 cm. Round your answer to the nearest tenth of a cubic centimeter.

User Jurgy
by
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2 Answers

6 votes

Answer:

1157.3cm^3

Explanation:

voume of a cone =V=πr^2h^3

Diameter = 15.8cm

Height = 17.7cm

Radius = diameter/2

= 15.8/2 = 7.9cm

Pi = 22/7

V = 22/7 ×7.9×7.9×17.7/3

= 22/7×62.41×5.9

V = 1157.25cm^3

Hence the volume of the cone is 1157.3cm^3

to the nearest 10th

User Adrianopolis
by
5.0k points
6 votes

Answer:


1156.8cm^3

Explanation:

The volume of a cone is given as:


V =(1)/(3) \pi r^2h

where r = radius

h = height of cone

The height of the cone is 17.7 cm and its base radius is 7.9 cm (diameter is 15.8 cm).

Its volume is:


V = (1)/(3) * \pi = 7.9^2 * 17.7\\ \\V = 1156.8cm^3

User Negash
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4.9k points