Quantitative Aptitude Ques 1277

Question: A solid sphere is cut into two equal halves. What is the ratio of the total surface area of each hemisphere that of the solid sphere?

Options:

A) 2 : 3

B) 3 : 4

C) 1 : 2

D) 4 : 5

Show Answer

Answer:

Correct Answer: B

Solution:

  • If a solid sphere is cut into two equals halves, then its halves will became hemisphere. The total surface area of a hemisphere $ =3\pi r^{2} $ Total surface area of a sphere $ =4\pi r^{2} $ Required ratio $ =3\pi r^{2}:4\pi r^{2}=3:4 $