The curved surface area of a sphere is 5544 sq.cm. Its volume is :

Check All Courses

Question

The curved surface area of a sphere is 5544 sq.cm. Its volume is :

Options:

A . 22176 cm3

B . 33951 cm3

C . 38808 cm3

D . 42304 cm3

Answer: Option C
$$\eqalign{
& 4\pi {r^2} = 5544 \cr
& \Rightarrow {r^2} = \left( {5544 \times \frac{1}{4} \times \frac{7}{{22}}} \right) \cr
& \Rightarrow {r^2} = 441 \cr
& \Rightarrow r = 21 \cr} $$
∴ Volume :
$$\eqalign{
& = \left( {\frac{4}{3} \times \frac{{22}}{7} \times 21 \times 21 \times 21} \right){\text{ c}}{{\text{m}}^3} \cr
& = 38808{\text{ c}}{{\text{m}}^3} \cr} $$

Was this answer helpful ?

Next Question

Submit Comment/FeedBack

More Questions on This Topic :

Question 1. The curved surface of a right circular cone of height 15 cm and base diameter 16 cm is :....

Question 2. A right circular cone and a right circular cylinder have equal base and equal height. If the radius of the base and the ....of the cylinder to that of the cone is :

Question 3. Water is poured into an empty cylindrical tank at a constant rate for 5 minutes. After the water has been poured into th....at which the water was poured into the tank ?

Question 4. A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass....man gets on it. The mass of the man is:

Question 5. A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so a....8 m, the volume of the box (in m3) is:

Question 6. A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:....

Question 7. 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a....rise in the water level in the tank will be:

Question 8. The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.....

Question 9. A larger cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. The ratio of th....of the smaller cubes and the larger cube is :

Question 10. Total surface area of a cube whose side is 0.5 cm is :....

Latest Videos

Chapter 1 - GLOBAL STEEL SCENARIO & INDI Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Latest Test Papers

Chapter 3.1 : Overview of Finance & Acco Chapter 3 : Finance & Accounts SAIL E0 - GFM 2024

Chapter 2.1 : Overview Chapter 2 : Materials Management SAIL E0 - GFM 2024

Chapter 1.1 : Personnel Functions- An ov Chapter 1 : Personnel Management SAIL E0 - GFM 2024

GPOE / GPA Combined 1 Free CBT Mock Test SAIL E0 2024

CBT Mixed Test 1 GPOE/GPA SAIL E0 2024