Question

How many conical bottle of radius 3cm and height 5cm can be obtained from a cylindrical bottle of radius 6cm and height 15cm?​

Answer 1

Answer:

Step-by-step explanation:

Given:

Radius of a cone = r = 3 cm

Height of the cone = h = 5cm

Radius of the cylinder = R= 6 cm

Height of the cylinder = H = ?

∴ Volume of water in conical vessel = Volume in cylindrical vessel

⇒ $\frac{1}{3} \pi r^2h = \pi R^2H$

⇒$\frac{1}{3}\pi 5^2(5) = \pi 6^2H$

⇒$200 = 100H$

⇒ ∴ H = 2