SSC Selection Post 2025 PYQ — Question 28

SSC Selection Post - Matriculation Level - 1st August 2025 - Shift 1 • Quantitative Aptitude • Q28

A hollow hemisphere has an inner radius of 5 cm and an outer radius of 7 cm. Find its total surface area.

Show answer & explanation

Correct answer: B

Explanation

Inner radius = 5 cm

Outer radius = 7 cm

Total surface area of ​​the hollow hemisphere = Outer curved surface area + Inner curved surface area + Annular area of ​​the base

= 2πR² + 2πr² + π(R² − r²)

= 2π(7²) + 2π(5²) + π(7² − 5²)

= 98π + 50π + 24π

= 172π cm²

= 540.57 cm²