Question

If a metallic sphere having volume 45π cm³ is melted to form a cylinder of height 5cm then find the radius of the cylinder....

Answer 1

Answer:

$\bigstar{\bold{Radius=3\:cm}}$

Step-by-step explanation:

$\Large{\underline{\underline{\bf{Given:}}}}$

• Volume of sphere = 45 π cm³
• Height of cylinder (h) = 5 cm

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• Radius of the cylider (r)

$\Large{\underline{\underline{\bf{Solution:}}}}$

→ Here volume of the sphere  = Volume of the cylinder

  45 π = π r² h

→ Cancelling π on both sides and substituting value for h

  45 = r² × 5

  r² = 9

  r = 3 cm

$\boxed{\bold{Radius=3\:cm}}$

$\Large{\underline{\underline{\bf{Notes:}}}}$

→ Volume of a cylinder = π r² h

→ Volume of a sphere = (4/3) π r³

Answer 2

⭐ Given :-

• Volume = 45π cm³

• Height = 5cm.

⭐ To Find :-

• Radius Of Cylinder.

⭐ Solution :-

It is given that,

Volume Of Sphere = Volume Of Cylinder.

So,

Volume Of Cylinder = πr²h.

Put the values Given.

45π = πr² × 5

➠ r² = 45/5

➠ r² = 9

➠ r = 3cm.

Hence, The Radius Is 3cm.