Question Details

If the height of a right circular cone is 24 cm and radius of its base is 10.5 cm, then the volume of right circular cone (in cm3) is: (Take π=227)

Options

A

2772

B

2727

C

2237

D

2277

Show Answer

Correct Answer :

Option A

2772

Solution :

The correct answer is Option 1: 2772.

To find the volume of a right circular cone, we use the standard formula for volume:

V=13πr2h

From the question, we are given the following values:

Height of the cone (h) = 24 cm
Radius of the base (r) = 10.5 cm = 212 cm
Value of π=227

Substituting these values into the volume formula:

V=13×227×2122×24

V=13×227×4414×24

Simplifying step-by-step:

V=2221×4414×24

Since 44121=21 and 244=6:

V=22×21×6

V=462×6

V=2772

Thus, the volume of the right circular cone is 2772 cm3.

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