27 spherical iron balls of radius 5 cm each are melted and recasted into a big

Question

27 spherical iron balls of radius 5 cm each are melted and recasted into a big sphere.The radius of the big sphere is _____.

Options:

A . 3 cm

B . 9 cm

C . 15 cm

D . 5 cm

Answer: Option C
:
C

Volume of the big iron ball will be equal to the volume of 27 small iron balls.
Let the radius of the big sphere be R cm.
Let the radius of the small sphere be
r cm = 5 cm.

$\Rightarrow \frac{4}{3} \times π R^{3} = 27 \times (\frac{4}{3} \times π r^{3})$
$\Rightarrow R^{3} = 27 r^{3}$

$R = 3 r = 3 \times 5 = 15$ cm.

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. Pavan built a conical flask using 550 m2 of aluminium sheet. If the radius of the flask is 7 m, then ho....litres)? [The bottom of the flask is of another material.]

Question 2. Raghu needs to make a cylindrical aluminum tube. What will be the area of the aluminum sheet required to make the tube....[Top and bottom of the tube are of another material]? (use π=227)

Question 3. Pavan filled water in a cylindrical vessel of radius 7cm and height 14cm. Then he gently dropped a spherical ball of r....answer in micrometres and correct up to 2 decimal places. ___

Question 4. The radius and height of a cone are in the ratio 4: 3. The area of the base is 154cm2. The area of the curved surface ....is 154cm2. The area of the curved surface in cm2 __

Question 5. The dimensions of a cuboid are in the ratio of 1 : 2 : 3 and its total surface area is 88 m2. The volume of cuboid is....surface area is 88 m2. The volume of cuboid is___ m3

Question 6. A big iron boiler tank which is cylindrical in shape is open at the top. Its height is 10 m and radius is 7 m. It....days it will take to corrode completely is ____ . (use π=227)

Question 7. Raghu wants to make a closed aluminium cone for his science project. The slant height and radius of the cone should be....of the aluminium sheet required to make the cone is_____. (Use π=227)

Question 8. A water container can hold 40 litres of water. Then the total number of ice cubes of side 5 cm which the contain....side 5 cm which the container can hold is ____.

Question 9. In a circus, a motorcyclist performs his stunts inside a hollow sphere. The thickness of the sphere is negligible. If ....the area available for the motorcyclist to perform his stunts. (use π=227)

Question 10. A 3×3 Rubik's cube has a total surface area of 54 cm2. The area occupied by every single red tile ....by every single red tile of the cube is ___________ .

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY 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

DSP Combined 1 Free Revision Test SAIL JO E-0

GPOE / GPA Combined 1 Free Revision Test SAIL JO E-0

BSP Plant Specific Review Test SAIL JO E-0

BSL Combined 1 Free Revision Test SAIL JO E-0

GFM Combined 1 Free Revision Test SAIL JO E-0

Submit Solution

More Questions on This Topic :

Latest Videos

Latest Test Papers