Question

calculate radius and volume of sphere when surface area is 1386cm2

Answer 1

Answer:

Sphere

Solve for radius

r≈10.5cm

A Surface area

1386

cm²

Step-by-step explanation:

Using the formula

A=4πr2

Solving forr

r=1

2A

π=1

2·1386

π≈10.50211cm

Answer 2

Surface area = (4)(pi)(r²) = 1386

= 4(22/7)(r²) = 1386

= 88/7(r²) = 1386

= r² = (1386/1)/(88/7)

= r² = (1386/1)(7/88)

= r² = 9702/88

= r² = 110.25

= r = 10.5cm

As the radius is 10.5cm, we can find the volume by

(4/3)(pi)(r²)

= (4/3)(22/7)(10.5²)

= (88/21)(110.25)

= 9702/21

= 462cm³

Therefore, the radius of the sphere is 10.5cm and the volume is 462cm³.