Question

VI'S
38.
A cylindrical container of radius 6cm and height 15cm is filled with Ice cream.
The whole ice cream has to be distributed to 10 children in equal cones with
hemispherical tops. If the height of the conical portion is 4 times the radius of
its base, find the radius of the ice cream cone?​

Answer 1

Step-by-step explanation:

Given, radius r = 6 cm and height h = 15 cm.

We know that volume of cylinder = πr²h

                                                       = π(6)²(15)

                                                       = 540 π.   ----- (i)

Let the radius of the base of the cone be R cm, then the height of the cone = 4R{∴ height is 4 times the radius of its base}.

∴ Volume of 10 cylindrical cones of ice-cream with hemispherical tops:

= 10[1/3 * π * r² * 4r] + 10 * (2/3)πr³

= (40/3) πr³ + (20/3) πr³

= 20 πr³ cm³.   ----- (ii)

On solving (i) & (ii), we get

⇒ 540π = 20 πr³

⇒ r³ = 27 cm

⇒ r = 3 cm.

Therefore, radius of the cone = 3cm

Answer 2

Step-by-step explanation:

hope it will help u

pl mark me as brainlist