The volume of the cone
1 answer:
Answer:
1004.8 in³
Step-by-step explanation:
The radius of the cone is 8.
The height of the cone uses the Pythagorean Theorem: a²+b²=c²
8²+b²=17²
64+b²=289
Subtract 64 from both sides.
b²=225
Now to find b, sqrt 225
b=
b=15
The height is 15
The formula for the volume of a cone is 1/3πr²h
Using that formula:
1/3*3.14*8²*15=
1/3*3.14*64*15=
5*3.14*64=
320*3.14=
1004.8
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Part b) Yes, her scale model drawing will fit on the piece of paper 8.5 by 7 inches
Step-by-step explanation:
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we know that
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so
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therefore
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