Question

the base radius of a cylindrical vessel is 3.5 cm and it's capacity is 0.308 litres. Find it's height
a) 4cm
b) 6cm
c) 8cm
d) 10cm​

Answer 1

Solution:

Radius = 3.5cm

Volume = 0.308L= 308cm^3

[1L = 1000cm^3]

Height = ??

$\tt{V = πr^2 \: h}$

$\tt \therefore{h = \frac{V}{πr^2} }$

$\tt \to{h = \frac{308}{ \frac{22}{7} \times(3.5)^{2} }}$

$\tt \to{h = \frac{308}{38.5}}$

$\tt \to{h = 8cm}$

Hence, height of a cylindrical vessel is 8cm.