FINDING THE VOLUME AND THE SURFACE AREA OF A SPHERE

Formula for surface area of a sphere,

S = 4πr²

Formula for volume of a sphere 

V = (4/3)πr³

(where r is the radius of the sphere)

Find the surface area of the sphere. Round your answer to the nearest whole number.

Problem 1 :

Solution :

Given, radius = 8 in

Formula for surface area of a sphere

S = 4πr²

Substitute π = 22/7 and r = 8

S = 4π (8)²

S = (4) (22/7) (64)

S = 804.57 in²

The surface area of the sphere is 804 in².

Problem 2 :

Solution :

Given, Diameter = 10cm.

Radius = d/2

               = 10/2

   Radius = 5 cm

Formula for surface area of a sphere,

S = 4πr²

Substitute π = 22/7 and r = 5

S = 4π (5)²

S = (4) (22/7) (25)

S = 314.28

The surface area of the sphere is 314 cm².

Find the volume of the sphere. Round your answer to the nearest whole number.

Problem 3 :

Solution :

Given, Radius = 8 m

Formula for volume of the sphere 

V = 4/3πr³

Substitute π = 22/7 and r = 8m

V = (4/3) ∙ (22/7) ∙ (8)³

V = (4/3) ∙ (22/7) ∙ 512

V = 2145 m³

Problem 4 :

Solution :

Given, Radius = 4 ft

Formula for volume of the sphere 

V = 4/3 ∙ πr³

Substitute π = 22/7 and r = 4 ft

V = (4/3) ∙ (22/7) ∙ (4)³

V = (4/3) ∙ (22/7) ∙ 64

V = 268 ft³

Problem 5 :

Solution :

Given, diameter = 22 yd

Radius = d/2

= 22/2

Radius = 11 yd

Formula for volume of the sphere 

V = 4/3 ∙ πr³

Substitute π = 22/7 and r = 11 yd

V = (4/3) ∙ (22/7) ∙ (11)³

V = (4/3) ∙ (22/7) ∙ (1331)

V = 5577 yd³

Problem 6 :

Solution :

Given, diameter = 14 ft

Radius = d/2

= 14/2

Radius = 7 ft

Formula for volume of the sphere 

V = 4/3 ∙ πr³

Substitute π = 22/7 and r = 7 ft

V = (4/3) ∙ (22/7) ∙ (7)³

V = (4/3) ∙ (22/7) ∙ (343)

V = 1437 ft³