Question

30spheres of radius 3.5cm each are melted and recast into a cylinder of radius7cm. Find the height of cylinder

Answer 1

Radius of Sphere = 3.5cm

VOLUME OF SPHERE = 4/3πR³

= 4/3×22/7×3.5×3.5×3.5 = 3773/21 = 179.66cm³


30 SPHERICAL ARE MELTED AND THEN RECAST INTO A CYLINDER SHAPE.

THIS MEANS THAT THE VOLUME OF 30 SPHERE IS EQUAL TO VOLUME OF CYLINDER.

RADIUS OF CYLINDER = 7CM

30( VOLUME OF SPHERE ) = VOLUME OF CYLINDER.

30(179.66) = πr²h

5389.8 = 22/7×7×7×H

H = 5389.8×7/22×49 = 37728.6/1078 = 34.9cm

Answer 2

Solution:-
Volume of 30 Spheres = 4/3πr³ x 30
= 4πr³ x 10
= 1715π--------(i)
Volume of Cylinder = πr²h
= 49πh-----(ii)
Volume of 30 Spheres = Volume of Cylinder
1715π = 49πh
h = 1715/49
h = 35cm

MARK BRAINLIEST!!!