Answer:

i) Volume = 179.59cm³

ii) Surface area = 154 sq cm

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Verified answer

Answer:

• volume of spherical tennis ball = 179.67 cm³
• surface area of spherical tennis ball = 154 cm²

Step-by-step explanation:

We are provided with the information that a spherical tennis ballIs Is of diameter 7.0 cm and are asked to find the volume and surface area of spherical tennis ball.

Using the given information we have —

• diameter = 7 cm
• radius = diameter/2 = 7/2 cm

Now,

• Volume of sphere = Volume of spherical tennis ball = 4/3 πr³

Substitute the values,

[tex]\implies[/tex] 4/3 × 22/7 × (7/2)³

[tex]\implies[/tex] 4/3 × 22/7 × 7/2 × 7/2 × 7/2

[tex]\implies[/tex] 4/4 × 22/2 × 7/7 × 7 × 7/3

[tex]\implies[/tex] 11 × 7 × 7/3

[tex]\implies[/tex] 11 × 49/3

[tex]\implies[/tex] 539/3

On solving we get,

[tex]\implies[/tex] 179.67 cm³

Hence, the volume of the spherical tennis ball is 179.67 cm³.

Similarly,

• ii) Surface area of sphere = Surface area of spherical tennis ball = 4πr²

Substitute the values,

[tex]\implies[/tex] 4 × 22/7 × (7/2)²

[tex]\implies[/tex] 4 × 22/7 × 7/2 × 7/2

[tex]\implies[/tex] 4/4 × 22 × 7/7 × 7

[tex]\implies[/tex] 22 × 7

On solving we get,

[tex]\implies[/tex] 154 cm²

Hence, the surface area of the spherical tennis ball is 154 cm².