SSC Selection Post 2025 PYQ — Question 40

SSC Selection Post - Higher Secondary Level - 2nd August 2025 - Shift 2 • Quantitative Aptitude • Q40

A cylindrical container with internal radius 7 cm and height 30 cm is completely filled with water. The water is then poured into identical conical vessels, each having a radius of 3.5 cm and height of 6 cm. How many such conical vessels can be completely filled with the water from the cylinder?

Show answer & explanation

Correct answer: C

Explanation

Volume of the cylinder = 22/7 × 7² × 30 = 4620 cm³

Volume of one cone = 1/3 × 22/7 × 3.5² × 6

= 77 cm³

Number of vessels = 4620 / 77 = 60