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If the volume of a cone is 48π cm3cm^3cm3​ and the height is 10 cm . Find the radius of its base in nearest one decimal place.
Question

If the volume of a cone is 48π cm3cm^3​ and the height is 10 cm . Find the radius of its base in nearest one decimal place.

A.

2.8 cm

B.

3.8 cm

C.

4.8 cm

D.

1.8 cm

Correct option is B

Given
Volume of the cone (V) = 48πcm348\pi cm^3​​
Height of the cone (h) = 10 cm

Formula Used
Volume of a cone =13πr2h \frac{1}{3}\pi r^2 h​​

Solution
Substitute the given values into the volume formula:
48π=13πr2×1048×3=10r2144=10r2r2=14.4r=14.43.794cm48\pi = \frac{1}{3}\pi r^2 \times 10\\48 \times 3 = 10 r^2\\144 = 10 r^2\\r^2 = 14.4\\r = \sqrt{14.4} \approx 3.794 cm​​
Rounding to one decimal place, the radius is 3.8 cm.
Final Answer
So the correct answer is (b)

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