Question

the height of a cone is 21cm .if it's volume is 700πcm3, find the radius of its base​

Answer 1

Answer:

Radius of base of cone is 10cm.

Step-by-step explanation:

For a conical shape,

Height (h) = 21cm

volume = 700π cm³

radius (r) = ?

$volume \: of \: cone \: = \frac{1}{3} \pi {r}^{2}h$

$700\pi = \frac{1}{3}\pi {r}^{2} \times 21 \\ \frac{700\pi \times 3}{21\pi} = {r}^{2} \\ {r}^{2} = 100 \\ (taking \: square \: root \: both \: sides) \\ r = 10cm$

Answer 2

Radius of cone = 10 cm

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