if the radius of the base of a cone is tripled and the height is doubled then the volume is

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If the radius of the base of a cone is tripled and the height is doubled then the volume is

If the radius of the base of a cone is tripled and the height is doubled then the volume is

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If the radius of the base of a cone is tripled and the height is doubled then the volume is

OPTIONS

made 6 times made 18 times made 12 times unchanged Advertisement Remove all ads

SOLUTION

Hint:

Radius of a cone = r

Height of a cone = h

Volume of the cone =

13 πr2h cu.units

When the radius is increased three-time (tripled) and the height is doubled

Radius is 3r and the height is 2h

Volume of the new cone

= h 13π(3π)2×2h = h 13π×9π2×2h = rh 13πr2h (18)

Volume is increased 18 times.

Concept: Volume of a Right Circular Cone

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Chapter 7: Mensuration - Exercise 7.5 [Page 298]

Q 7 Q 6 Q 8

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Tamil Nadu Board Samacheer Kalvi Class 10th SSLC Mathematics Answers Guide

Chapter 7 Mensuration

Exercise 7.5 | Q 7 | Page 298

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If the radius of the base of a cone is tripled and the height is doubled then the volume is

If the radius of the base of a cone is tripled and the height is doubled then the volume is

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If the radius of the base of a...

If the radius of the base of a cone is tripled and the height is doubled then the volume is

Updated On: 27-06-2022

( 00 : 22 ) ADVERTISEMENT Text Solution Open Answer in App A made 6 times B made 18 times C made 12 times D unchanged Answer

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Answer

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If the radius of the base of a cone is tripled and the height is doubled then the volume is (1) made 6 times (2) made 18 times (3) made 12 times

If the radius of the base of a cone is tripled and the height is doubled then the volume is (1) ... made 18 times (3) made 12 times (4) unchanged

If the radius of the base of a cone is tripled and the height is doubled then the volume is (1) made 6 times (2) made 18 times (3) made 12 times

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