Question

The surface area of a sphere is 3844 m². Find the
radius of the sphere.
(1) 41 cm (2) 25 cm (3) 31 cm (4) 33 cm​

Answer 1

Answer:

• Radius of the sphere is 17.48 cm.

Step-by-step explanation:

Given that:

• The surface area of a sphere is 3844 m².

To Find:

• The radius of the sphere.

Let us assume:

• The radius of the sphere be x.

We know that:

• Surface area of a sphere = 4 • π • r²

Where,

• r = Radius of the sphere

Finding the radius of the sphere:

Substituting the values in formula.

⟶ 4 • π • r² = 3844

⟶ π • r² = 3844/4

⟶ 22r²/7 = 961

⟶ r² = (961 × 7)/22

⟶ r² = 305.77

⟶ r = √305.77

⟶ r = 17.48 (approx.)

∴ Radius of the sphere = 17.48 cm

Answer 2

Answer:

• 17.48 cm

Step-by-step explanation:

Given

• Surface area of a sphere = 3844 m²

To find

• Radius of the sphere

Solution

⇒ Surface area of sphere = 4πr²

• 3844 = 4 ײ²⁄₇ × r²
• 3844 = ⁸⁸⁄₇ × r²
• r² = 3844 × ⁷⁄₈₈
• r² = 305.77
• r = √305.77
• r = 17.48

Hence, the radius of sphere is 17.48 cm.

Learn more

↪ Sphere : When a circular lamina is revolved about any of its diameters, then the solid is generated and it is named as a sphere.

↪ Volume of sphere : ⁴⁄₃ πr³

↪ Football, volleyball are spherical in shape.