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mr_godi [17]
2 years ago
14

A cone with a diameter of 12 inches has a volume of 640.88 cubic inches. find the height of the cone

Mathematics
1 answer:
BlackZzzverrR [31]2 years ago
8 0

Answer:

The height of the cone is 17\ in

Step-by-step explanation:

we know that

The volume of a cone is equal to

V=\frac{1}{3}\pi r^{2}h

In this problem we have

r=12/2=6\ in ----> the radius is half the diameter

V=640.88\ in^{3}

assume \pi=3.14

substitute the values and solve for h

640.88=\frac{1}{3}(3.14)(6)^{2}h

h=640.88*3/((3.14)(36))=17\ in

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