SSC MTS 2024 PYQ — Question 9

SSC MTS - 23/10/2024 - (9:00 AM - 11:00 AM) • Quantitative Aptitude • Q9

A hemispherical bowl with an internal radius of 27 cm is full of liquid. The liquid is to be filled into cylindrical shaped bottles of diameter 12 cm and height 13.5 cm. The number of bottles required to empty the bowl is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 27.

Volume of bowl = (232\over3)πr3 = (232\over3) × (22722\over7) × 273

Volume of bottle = πr2h = (22722\over7) × 62 × 13.5

Number of bottles = Volume of bowl / Volume of bottle

⇒ [(232\over3) × (22722\over7) × 273] / [(22722\over7) × 62 × 13.5]

⇒ 27