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STatiana [176]
2 years ago
8

A cone has a diameter of 7.5 ft and a height of 4.25 ft. What is the volume of the cone to the nearest tenth? Use 3.14 for π.

Mathematics
1 answer:
leva [86]2 years ago
3 0

Answer:

The volume of a cone is 62.5\ \text{feet}^3.

Step-by-step explanation:

We have,

Diameter of a cone is 7.5 ft

Radius of a cone is 3.75 ft

Height of the cone is 4.25 ft

It is required to find the volume of the cone. The formula of the volume of cone is given by :

V=\dfrac{1}{3}\pi r^2 h\\\\V=\dfrac{1}{3}\times 3.14\times (3.75)^2\times 4.25\\\\V=62.55\ \text{feet}^3

So, the volume of a cone is 62.5\ \text{feet}^3.

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7( \frac{1}{3} +  \frac{4}{5} )

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=7( \frac{5}{15} +  \frac{12}{15} )

=7( \frac{17}{15})

=\frac{7}{1} ( \frac{17}{15})

=\frac{119}{15}

= 7\frac{14}{15} ≈ 7.93
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