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The radius of the base of a cone is 21 cm and its height is 20 cm. Find its volume.

Options

Option A

9204 cubic cm

Option B

9042 cubic cm

Option C is correct

9240 cubic cm

Option D

9273 cubic cm

Explanation

The formula for the volume of a cone (VV) is V=13πr2hV = \frac{1}{3} \pi r^2 h, where rr is the radius of the base and hh is the height. Given: Radius (rr) = 21 cm Height (hh) = 20 cm Using π=227\pi = \frac{22}{7}:V=13×227×(21 cm)2×20 cmV = \frac{1}{3} \times \frac{22}{7} \times (21\text{ cm})^2 \times 20\text{ cm} V=13×227×21×21×20V = \frac{1}{3} \times \frac{22}{7} \times 21 \times 21 \times 20 We can simplify the calculation: V=13×22×(217)×21×20V = \frac{1}{3} \times 22 \times \left(\frac{21}{7}\right) \times 21 \times 20 V=13×22×3×21×20V = \frac{1}{3} \times 22 \times 3 \times 21 \times 20Cancel out the 33 in the denominator and numerator:V=22×21×20V = 22 \times 21 \times 20First, calculate 22×2122 \times 21:22×21=46222 \times 21 = 462Now, multiply by 2020:V=462×20=9240V = 462 \times 20 = 9240Therefore, the volume of the cone is 92409240 cubic cm.