Each tennis ball is a sphere with radius 3.4 cm. Use 3.14 for .a. Find the surface area of 3 tennis balls to the nearest tenth of a square cm.b. Find the volume of 3 tennis balls to the nearest tenth of a cubic cm.
Question
Each tennis ball is a sphere with radius 3.4 cm. Use 3.14 for .a. Find the surface area of 3 tennis balls to the nearest tenth of a square cm.b. Find the volume of 3 tennis balls to the nearest tenth of a cubic cm.
Solution
a. The formula for the surface area of a sphere is 4πr².
Step 1: Substitute the given radius into the formula. Surface area = 4 * 3.14 * (3.4 cm)² = 145.2 cm²
Step 2: Since we are finding the surface area for 3 tennis balls, we multiply the result by 3. Surface area for 3 balls = 3 * 145.2 cm² = 435.6 cm²
So, the surface area of 3 tennis balls is approximately 435.6 cm² to the nearest tenth of a square cm.
b. The formula for the volume of a sphere is 4/3πr³.
Step 1: Substitute the given radius into the formula. Volume = 4/3 * 3.14 * (3.4 cm)³ = 164.6 cm³
Step 2: Since we are finding the volume for 3 tennis balls, we multiply the result by 3. Volume for 3 balls = 3 * 164.6 cm³ = 493.8 cm³
So, the volume of 3 tennis balls is approximately 493.8 cm³ to the nearest tenth of a cubic cm.
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