Question

the base area of a cone is 38.5cm square. its volume is 77 cm cube .find its height

Answer 1

(i)

Given, base area of a cone = 38.5 cm^2.

⇒ πr^2 = 38.5

(ii)

Given, volume = 77 cm^3.

⇒ (1/3) πr^2h = 77

⇒ (1/3) * (38.5) * h = 77

⇒ 38.5 * h = 77 * 3

⇒ 38.5 * h = 231

⇒ h = 6

Therefore, the height of the cone = 6 cm.

Hope it helps!

Answer 2

Hello!!!!!!!

$Volume \: Of \: Cone(V)= \frac{1}{3} \: \pi \: {r}^{2} h$

$Also \: Base \: Area, \pi \: {r}^{2} = 38.5$

$Volume = 77$

$77 = \frac{1}{3} \times 38.5 \times h$

$h = \frac{77 \times 3}{38.5}$

$h \: = 6 \: cm$

Hence, Its height is 6 cm.

Hope It Helps!