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ExtremeBDS [4]
3 years ago
12

Find the volume of a right circular cone that has a height of 9.6m and a base with a diameter of 2.9m. Round your answer to the

nearest tenth of a cubic meter.
Mathematics
1 answer:
Vlad [161]3 years ago
4 0

Answer:

r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m

If we convert the height to meters like this:

h = 9.6 cm *\frac{1m}{100 cm}= 0.096m

And we want to find the volume of the cone and is given by:

V = \pi r^2 h

And replacing we got:

V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3

Step-by-step explanation:

For this case we have a right circular cone with a height of 9.6cm and a base with a diameter of 2.9m. We can find the radius like this:

r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m

If we convert the height to meters like this:

h = 9.6 cm *\frac{1m}{100 cm}= 0.096m

And we want to find the volume of the cone and is given by:

V = \pi r^2 h

And replacing we got:

V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3

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