Question

Three spheres having radii 2cm ,3cm and 5cm are melted together to form a single sphere find the radius of the new sphere s

Answer 1

Answer:

VOLUME OF THREE SPHERE = VOLUME OF NEW SPHERE

==> 4π(r1+r2+r3) = 4πr³

==> 4π(2+3+5) = 4πr³

==> 10 = r³

==> r = cube root 10

Answer 2

The radius of the new sphere is 5.42 cm

Step-by-step explanation:

Radius of sphere 1 = 2 cm

Radius of sphere 2 = 3 cm

Radius of sphere 3 = 5 cm

Three spheres having radii 2cm ,3cm and 5cm are melted together to form a single sphere

So, Volume of 3 sphere = Volume of big spheres

$\frac{4}{3} \pi (2)^3 +\frac{4}{3} \pi (3)^3 +\frac{4}{3} \pi (5)^3 = \frac{4}{3} \pi r^3 \\(2^3+3^3+(5)^3 )= r^3 \\\sqrt[3]{(2^3+3^3+(5)^3 )}=r\\5.42 =r$

Hence the radius of the new sphere is 5.42 cm

#Learn more:

Metallic spheres of radii 6cm,

8cm and 10cm are melted to form a single solid sphere. find the radius of the resulting sphere ​

https://brainly.in/question/7921327?answeringSource=feedToOptimize%2FhomePage