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yarga [219]
3 years ago
10

Find Volume for the cones. Round to the nearest TENTH. (A) Radius of 2 in, and a height of 4 inches (B) Diameter of 6 m, and a h

eight of 3 m (c) Diameter of 5 in, and a height of 10 in
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0

Answer:

A. 16.8 in³

B. 28.3 m³

C. 65.4 in³

Step-by-step explanation:

The volume of a cone is given as:

V = ⅓ * pi * r² * h

Where r = radius of base of cone

h = height of cone

A. Radius = 2 inches, height = 4 inches

It's volume is:

V = ⅓ * pi * 2² * 4

V = 16.8 in³

B. Diameter of 6 m, and a height of 3 m

It's diameter is 6 m, therefore, it's radius is:

r = d / 2 = 6 / 2 = 3 m

It's volume is:

V = ⅓ * pi * 3² * 3

V = 28.3 m³

C. Diameter of 5 in, and a height of 10 in

It's diameter is 5 in, therefore, it's radius is:

r = d / 2 = 5 / 2 = 2.5 m

It's volume is:

V = ⅓ * pi * 2.5² * 10

V = 65.4 in³

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Given,

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The radius of cylinder A,

\begin{gathered} r=\sqrt[]{\frac{V}{\pi h}} \\ =\sqrt[]{\frac{6}{3\pi}} \\ =0.8 \end{gathered}

To find the volume of a cylinder B

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Thus the volume of cylinder B is 6.03

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Step-by-step explanation:

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