Home › Kerala SSLC (Class 10) › Mathematics › Spheres › A solid sphere of radius 12 cm is cut into two e…
A solid sphere of radius 12 cm is cut into two equal hemispheres. The surface area of each hemisphere is:
A144 π cm²
B288 π cm²
C576 π cm²
D432 π cm²
Answer & Solution
Correct answer: D. 432 π cm²
1. Half the sphere's surface area is (1/2)(4 π × 144) = 288 π cm².
2. Add the circular flat face of area π × 12² = 144 π cm².
3. Total = 288 π + 144 π = 432 π cm².
4. So each hemisphere has total surface area 432 π cm².
5. The original full sphere had 576 π cm² of outer surface.
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 8-9 (pp 200-219, 2019 ed.)._
Related questions
In the textbook's derivation of the sphere surface area, the sphere is shown to have the sFrom a solid sphere of radius 10 cm a cone of height 16 cm is carved out (apex on the surfA sphere is fitted inside a cylinder whose base radius equals the sphere's radius and whosA water tank is hemisphere-on-cylinder shape with hemisphere radius 1.5 m and total heightThe total surface area of a solid hemisphere of radius r equals:A metal sphere of radius 12 cm is melted and recast into 27 small spheres of equal size. TTwo spheres have volumes in the ratio 27 : 64. The ratio of their surface areas is:Two spheres have volumes in the ratio 27 : 64. The ratio of their radii is: