Question

A spherical balloon has a circumference of 25 cm.

a.) What is the approximate surface area of the balloon to the nearest square centimeter?
b.) What is the approximate volume of the balloon to the nearest cubic centimeter?

Answer 1

See below ↓↓

Explanation:

Finding the radius

• C = 2πr
• 25 = 2 x 3.14 x r
• r = 25 / 6.28
• r = 3.98 cm ≅ 4 cm

Surface Area

• 4πr²
• 4 x 3.14 x 4 x 4
• 3.14 x 64
• 200.96
• 201 cm²

Volume

• 4/3πr³ = 4πr² x r/3
• 201 x 4/3
• 67 x 4
• 268 cm³