Question

the radius and height of a cylinder are in the ratio 3:4 and it's volume is 288πcm^3.. find the radius​

Answer 1

Answer:

6 cm

Step-by-step explanation:

Radius : Height = 3:4

Let, Radius (r) = 3x

Height (h) = 4x

$288\pi = \pi {r}^{2} h \\ 288 = 9 {x}^{2} \times 4x \\ x {}^{3} = 8 \\ x = \sqrt[3]{8} \\ x = 2$

Radius = 3×2 = 6 cm