A sphere has a radius of 7 cm. What is the volume of the sphere?

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Question: A sphere has a radius of 7 cm. What is the volume of the sphere?

Options:

Correct Answer: 143.67 cm³

Solution:

Volume = (4/3)πr³ = (4/3) * 3.14 * 7³ = (4/3) * 3.14 * 343 = 1436.76 cm³.

A sphere has a radius of 7 cm. What is the volume of the sphere?

A sphere has a radius of 7 cm. What is the volume of the sphere?

Step 1: Identify the formula for the volume of a sphere, which is Volume = (4/3)πr³.
Step 2: Substitute the radius (r) into the formula. Here, the radius is 7 cm.
Step 3: Calculate r³ (7³). This means 7 multiplied by itself three times: 7 * 7 * 7 = 343.
Step 4: Now substitute 343 back into the formula: Volume = (4/3) * π * 343.
Step 5: Use the value of π (approximately 3.14) in the formula: Volume = (4/3) * 3.14 * 343.
Step 6: Calculate (4/3) * 3.14. First, calculate 4/3 = 1.3333, then multiply by 3.14 to get approximately 4.1887.
Step 7: Now multiply 4.1887 by 343 to find the volume: 4.1887 * 343 = 1436.76 cm³.

Volume of a Sphere – The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius.