ABC26GN5047 · Volume and Surface Area

Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: 2009 · Marks: · Difficulty:

A hemispherical bowl of internal radius 12 cm contains liquid. This liquid is to be filled into cylindrical container of diameter 4 cm and height 3 cm . The number of containers that is necessary to empty the bowl is

(a)80

(b)96

(c)100

(d)112

Answer

Answer (as printed): B

Explanation

Volume of hemispherical bowl $=\left(\frac{2}{3} \times \pi \times 12 \times 12 \times 12\right) \mathrm{cm}^{3}$. Volume of 1 cylindrical container $=(\pi \times 2 \times 2 \times 3) \mathrm{cm}^{3}$. $$\text { ∴ Number of containers required }=\frac{2}{3} \times \frac{12 \times 12 \times 12}{2 \times 2 \times 3}=96 .$$

Explanation as extracted from the printed page; notation may be imperfect.

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