A conical vessel has base radius 31 cm and height 45 cm. Water is poured into the vessel until it is 2/3 full. Find the volume( in cm³) of water in the vessel.

Question

Question

This question was previously asked in

RRB NTPC Graduate Level CBT-I Official Paper (Held On: 05 Jun, 2025 Shift 3)

Answer 1

Given:

Radius (r) = 31 cm

Height (h) = 45 cm

Vessel is 2/3 full

Formula used:

Volume of cone = \(\frac{1}{3}π r^2 h \)

Volume when 2/3 full = \(\frac{2}{3} \times \frac{1}{3}π r^2 h \)

Calculations:

⇒ Volume = (2/3) × (1/3) × π × 31² × 45

⇒ = (2/9) × π × 961 × 45

⇒ = (2 × 961 × 45 ÷ 9) × π

⇒ = (2 × 961 × 5) × π = 9610 × π

∴ Volume of water = 9610π cm³

Download Solution PDF