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A piece of paper is in the form of a right angle triangle in which the ratio of base and perpendicular is 3:4 and hypotenuse is 20cm. What is the volume of the biggest cone that can be formed by taking right angle vertex of the paper as the vertex of the cone?

A piece of paper is in the form of a right angle triangle in which the ratio of base and perpendicular is 3:4 and hypotenuse is 20cm. What is the volume of the biggest cone that can be formed by taking right angle vertex of the paper as the vertex of the cone?
 

Grade:11

1 Answers

Adithya prakash
12 Points
5 years ago
since 3:4 is a ratio we can consider the base and perpendicular as 3k and 4k respectively. because k will get cancelled out
(3k)2 + (4k)2 = (20)2
find the value 0f k
then’
base=3k
perpendicular=4k
then u can find the volume of cone using1/3pir2h
here we must consider 4k as radius as we are asked to find largest volume of cone possible
because radius gets squared
all the best

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