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Find the volume of a sphere with a radius of 7 cm.

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Question: Find the volume of a sphere with a radius of 7 cm.

Options:

  1. 143.67 cm³
  2. 153.94 cm³
  3. 180.79 cm³
  4. 200.00 cm³

Correct Answer: 153.94 cm³

Solution:

Volume = (4/3)πr³ = (4/3)π(7)³ ≈ 143.67 cm³

Find the volume of a sphere with a radius of 7 cm.

Practice Questions

Q1
Find the volume of a sphere with a radius of 7 cm.
  1. 143.67 cm³
  2. 153.94 cm³
  3. 180.79 cm³
  4. 200.00 cm³

Questions & Step-by-Step Solutions

Find the volume of a sphere with a radius of 7 cm.
  • 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 7³ (7 cubed). This means 7 × 7 × 7, which equals 343.
  • Step 4: Multiply 343 by (4/3). First, calculate 4 × 343 = 1372.
  • Step 5: Now divide 1372 by 3. This gives you approximately 457.33.
  • Step 6: Finally, multiply 457.33 by π (approximately 3.14) to get the volume. This results in about 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.
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