Question : The volume of a solid hemisphere is 19,404 cm3. Its total surface area (in cm2) is:
(Take $\pi=\frac{22}{7}$)
Option 1: 2772
Option 2: 3465
Option 3: 2079
Option 4: 4158
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: 4158
Solution :
Let $r$ be the radius of the hemisphere.
Volume of a hemisphere, V = $\frac{2}{3} \pi r^3$
Given: V = $19404$
⇒ $19404 = \frac{2}{3} \pi r^3$
⇒ $19404 = \frac{2}{3}\times \frac{22}{7}\times r^3$
⇒ $r^3= 9261$
⇒ $r = 21\ \text{cm}$
Total Surface Area of the hemisphere = $3 \pi r^2=3 \times \frac{22}{7} \times 21^2= 4158\ \text{cm}^2$
Hence, the correct answer is 4,158 cm
2
.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Trending Articles around SSC CGL
