Question

A sphere having radius 3.5 cm is placed inside a cylindrical container with diameter and height equal to 10 cm. What is the volume of the empty space left inside a cylinder?

Answer 1

Hey here is your answer

Your question is :-

A sphere having radius 3.5 cm is placed inside a cylindrical container with diameter and height equal to 10 cm. What is the volume of the empty space left inside a cylinder?

Your answer is :-

The measurements of the cylinder :-

Daimeter = 10cm

Radius = 10/2 = 5 cm (radius is half of the daimeter)

Height = 10 cm

Volume of cylinder = πr²h

22/7 × 5 × 5 × 10 cm³

5500/7 cm³

Now,

Radius of the sphere = 3.5 cm

Volume of sphere = 4/3 πr³

4/3 × 22/7 × 3.5 × 3.5 × 3.5

4/3 × 22 × 0.5 × 3.5 × 3.5

88/3 × 0.5 × 3.5 × 3.5

539/3 cm³

The remaining area of the cylinder when sphere is placed inside it =

volume of cylinder - volume of sphere

5500/7 cm³ - 539/3 cm³

(5500×3 - 539×7) / 21 cm³

(16500 - 3773) / 21 cm³

12727 / 21 cm³

or

606.0476 cm³

Hope This helps you

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