Question

19. find the volume of a sphere whose surface area is 55.44 cm. (= 22/7)​

Answer 1

Answer:

38.808cu.cm

Step-by-step explanation:

Let r cm be the radius of the sphere. Its surface area =55.44cm

2

⇒ 4πr

2

=55.44

⇒ 4×

7

22

×r

2

=55.44

⇒ r

2

=

4×22

55.44×7

=4.41=(2.1)

2

⇒ r=2.1cm

now, volume of the sphere=

3

4

πr

3

=

3

1

(4πr

2

)×r=

3

1

×55.44×2.1cm

3

=55.55×0.7cm

3

Hence the volume of the sphere =38.808cm

3

Answer 2

Sphere

SphereSolve for volume

SphereSolve for volumeV≈38.82

SphereSolve for volumeV≈38.82A Surface area

SphereSolve for volumeV≈38.82A Surface area 55.44

SphereSolve for volumeV≈38.82A Surface area 55.44Unit Conversion:

SphereSolve for volumeV≈38.82A Surface area 55.44Unit Conversion:Using the formulas

SphereSolve for volumeV≈38.82A Surface area 55.44Unit Conversion:Using the formulasA=4πr2

SphereSolve for volumeV≈38.82A Surface area 55.44Unit Conversion:Using the formulasA=4πr2V=4

SphereSolve for volumeV≈38.82A Surface area 55.44Unit Conversion:Using the formulasA=4πr2V=43πr3

SphereSolve for volumeV≈38.82A Surface area 55.44Unit Conversion:Using the formulasA=4πr2V=43πr3Solving for

SphereSolve for volumeV≈38.82A Surface area 55.44Unit Conversion:Using the formulasA=4πr2V=43πr3Solving forV=A3/2

SphereSolve for volumeV≈38.82A Surface area 55.44Unit Conversion:Using the formulasA=4πr2V=43πr3Solving forV=A3/26π=55.443/2

SphereSolve for volumeV≈38.82A Surface area 55.44Unit Conversion:Using the formulasA=4πr2V=43πr3Solving forV=A3/26π=55.443/26·π≈38.81581