Question

the radius and height of a cylinder are in the radio 4:7 and its volume is 1188cm^3. find its radius​

Answer 1

Let radius be 4x

and height be 7x

Volume =1188cm^3

$\pi \times r {}^{2} \times h = 1188$

$\frac{22}{7} \times 16x {}^{2} \times 7x = 1188$

$22 \times 16x {}^{2} \times x = 1188$

$325x {}^{3} = 1188$

$x {}^{3} = \frac{27}{8}$

$x = \frac{3}{2}$

$x = 1.5$

Radius = 4x

= 4 × 1.5

= 6cm