SSC MTS 2024 PYQ — Question 15

SSC MTS - 08/10/2024 - (4:00 PM - 5:30 PM) • Quantitative Aptitude • Q15

A wooden toy is in the form of a sphere with a diameter of 28 cm. Find the cost of polishing its surface at the rate of 50 paise per cm2. (Take π=227\pi = {22\over7})

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. ₹1,232.

Radius(r) = 28228\over2 =14 cm

Surface area of sphere = 4πr2 = 4 × 227\frac{22}{7} × 142

⇒ 4×227×196=4×22×284 × \frac{22}{7} × 196 = 4\times22\times28 = 2464 cm2

Cost = 2464 × 0.50 = ₹1232