Question

The volume of a cone is 18480 cm'. If the height
of the cone is 40 cm, find the radius of its base.​

Answer 1

Answer:

$radius \: of \: its \: base \: = 21 \: cm$

Step-by-step explanation:

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Given -

Volume of a Cone = 18480

Height of the Cone = 40

To Find -

Radius of its Base

$volume \: of \: cone = \frac{1}{3} \pi {r}^{2} h \\ \\ 18480= \frac{1}{3} \times \frac{22}{7} \times {r}^{2} \times 40 \\ \\ {r}^{2} = \frac{18480 \times 3 \times 7}{22 \times 40} \\ \\ {r}^{2} = \frac{38808}{88} \\ \\ {r}^{2} = 441 \\ \\ r = \sqrt{441} \\ \\ r = 21 \: cm$

Answer 2

Answer:

21cm

Step-by-step explanation:

Height of Cone = 40cm

Volume of Cone = 18480 cm³

>> 1/3 π r² h = 18480

>> 1/3 * 22/7 * r² * 40 = 18480

>> r² = (18480 * 7 * 3) / (40 * 22)

>> r² = 388,080 / 880

>> r² = 441

>> r = √441

>> r = 21cm

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