Math Counts Question 8

Calculus Level pending

A 6-8-10 right triangle is rotated about the side of length 10 units. What is the volume of the resulting solid? Express your answer as a decimal to the nearest tenth


The answer is 241.3.

Eric Zhu by Eric Zhu , 15, USA

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1 solution

X X
Nov 7, 2018

The height of the triangle is 6 × 8 10 = 4.8 \frac{6\times8}{10}=4.8

The volume is 4. 8 2 π × 10 × 1 3 4.8^2\pi\times10\times\frac13 (Using the formula of a cone)

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Lol I used calculus and integrated but I got the answer incorrect and found a tiny error in my method and got the correct answer... goddamn ^^)

Krishna Karthik - 1 year, 7 months ago

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