Home
Class 14
MATHS
A solid metallic sphere of radius 15cm m...

A solid metallic sphere of radius 15cm melted and recast into spherical balls of radius 3 cm each. What is the ratio of the surface area of the original and the sum of the surface area of the balls?
15 सेमी त्रिज्या का एक ठौस धात्विक क्षेत्र को पिघला कर त्रिज्या 3 सेमी के प्रत्येक गोलाकार गेंद बनाई जाती है । मूल सतह के क्षेत्रफल और गेंदों के सतह क्षेत्र के योग का अनुपात क्या है?

A

`1:10`

B

`1:5`

C

`5:27`

D

`3:40`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

A solid metalic sphere, 3 cm in radius is melted and recast into three spherical balls with radii 1.5 cm, 2 cm and x cm. Find the value of x.

A solid sphere of radius 3 cm is melted and then recast into small spherical balls each of diameter 0.6 cm. Find the number of balls.

A solid metallic sphere of radius 8cm is melted and recast into spherical balls each of radius 2cm. The number of spherical balls, thus obtained,is (a) 16 (b) 48 (c) 64quad (d) 82

A solid metallic cuboid of dimensions 18 cm x 36cm × 72cm is melted and recast into 8 cubes of the same volume. What is the ratio of the total surface area of the cuboid to the sum of the lateral surface area of all 8 cubes? 18 सेमी x 36 सेमी x 72 सेमी आयाम वाले एक ठोस धात्विक घनाभ को पिघलाकर समान आयतन वाले 8 घन में पुन्गठित किया जाता है। घनाभ के कुल सतह क्षेत्रफल से सभी 8 घन के पार्श्व सतह क्षेत्रफल का अनुपात क्या है?

A metallic solid spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of two of these balls are 2 cm and 1.5 cm. What is the surface area (in cm^(2) ) of the third ball?

A spherical ball of radius 3 cm is melted and recast into the spherical balls. The radii of two of these balls are 1.5 cm and 2 cm. Find the radius of the third balls.

A spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of two of these balls are 1.5 cm and 2 cm. The radius of the third ball is

A solid cube of volume 13824 cm^3 is cut into 8 cubes of equal volumes. The ratio of the surface area of the original cube to the sum of the surface areas of three of the smaller cubes is : 13824 घन सेमी आयतन वाले एक ठोस घन को बराबर आयतन वाले आठ घनों में काटा जाता है| आरंभिक घन के पृष्ठ क्षेत्रफल तथा तीन छोटे घनों के पृष्ठ क्षेत्रफलों के योग का अनुपात क्या है ?

A spherical ball of lead 6 cm in radius is melted and recast into three spherical balls. The radii of two of these balls are 3cm and 4 cm. What is the radius of the third sphere ?