A cone has slanted height of 5cm and height of 4cm, its volume (in cm^3) is __________(a) 38.71(b) 36.50(c) 37.00(d) 37.71I got this question in class test.This intriguing question originated from Volume of a Right Circular Cone topic in division Surface Areas and Volumes of Mathematics – Class 9

A cone has slanted height of 5cm and height of 4cm, its volume (in cm^

1.	A cone has slanted height of 5cm and height of 4cm, its volume (in cm^3) is __________(a) 38.71(b) 36.50(c) 37.00(d) 37.71I got this question in class test.This intriguing question originated from Volume of a Right Circular Cone topic in division Surface Areas and Volumes of Mathematics – Class 9
Answer» CORRECT answer is (d) 37.71 The BEST EXPLANATION: From the figure shown below, According to Pythagoras theorem, r^2 + h^2 = l^2 r = \(\sqrt{l^2-h^2}\) = \(\sqrt{5^2-4^2}\) = 3cm We KNOW that volume of a cone = \(\frac{1}{3}\) πr^2h = \(\frac{1}{3} * \frac{22}{7}\) * 3 * 3 * 4 = 37.71.

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A cone has slanted height of 5cm and height of 4cm, its volume (in cm^3) is __________(a) 38.71(b) 36.50(c) 37.00(d) 37.71I got this question in class test.This intriguing question originated from Volume of a Right Circular Cone topic in division Surface Areas and Volumes of Mathematics – Class 9

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