Question

40. The volume of a solid sphere made up of wax is 385cm. It is melted and recast
Into the shape of a cylinder. Then the volume of this cylinder is
(A) 577.5cm3
(B) 770cm
(C) 192.5cm
(D) 385cm
BRE​

Answer 1

Step-by-step explanation:

Volume of sphere = 4/3pie× r³

385cm³ = 4/3 ×pie× r³

385 × 3 /4× pie = r³

(385 × 3 × 7)/(4 × 22) = r³

r = 4.5cm

Since it is melted and recasted

so,

Volume of sphere = Volume of cylinder

[Volume of cylinder = pie .r². h]

385cm³ = 22/7 × 45/10 × 45/10 × h(let)

h = (385 × 7 × 10 × 10)/(22 × 45 × 45)

h = 6cm

Volume of cylinder = 22/7 × 45/10 × 45/10 × 6

= 381cm³

Note- It took 15 to 20 minutes to complete this because I am solving it with mobile phone and the calculations are performeded by calculator

So the value may not be 100 percentage accurate as of doing yourself

Hope it helps!!