SSC CGL 2022 PYQ — Question 57

SSC CGL - 01 Dec 2022 - Shift 1 • Quantitative Aptitude • Q57

How many spherical lead shots each of diameter 8.4 cm can be obtained from a rectangular solid of lead with dimensions 88 cm, 63 cm, 42 cm. (Take π = 22/7)

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2. i.e. 750.

Diameter of the lead shot = 8.4 cm

Radius of the lead shot = 8.4 / 2 = 4.2 cm

Number of spherical lead shots = (Volume of the rectangular solid / Volume of the lead shot)

Number of spherical lead shots = (length×breadth×height43πr3)\left ( \frac{length\times breadth\times height}{\frac{4}{3}\pi r^{3}}\right )

Number of spherical lead shots = (88×63×4243π(4.2)3)\left ( \frac{88\times 63\times 42}{\frac{4}{3}\pi (4.2)^{3}}\right )

Number of spherical lead shots = 232848310.464\frac{232848}{310.464}

Number of spherical lead shots = 750