Mathematics
Grade-8
Easy

Question

If a tennis ball has a diameter of 7, find the volume of the tennis ball. Use 3.14 for pi. Round to the nearest whole number (the ones place).

  1. 180
  2. 144
  3. 170
  4. 179

hintHint:

Here, we want to find the volume of a tennis ball whose diameter is given. Now, we know that a tennis ball is sphere-shaped and the volume V of a sphere of diameter d is given by the formula, V equals 4 over 3 cross times straight pi cross times open parentheses straight d over 2 close parentheses cubed.

The correct answer is: 179


    Given that the diameter of the tennis ball is d equals 7.
    We have to find the volume of this sphere-shaped tennis ball.
    We know that the volume V of a sphere of diameter d is V equals 4 over 3 cross times straight pi cross times open parentheses straight d over 2 close parentheses cubed..
    So, for d equals 7, we get (put straight pi equals 3.14): V equals 4 over 3 cross times 3.14 cross times open parentheses 7 over 2 close parentheses cubed equals 179.50 space.
    Therefore, the volume of the given tennis ball is approximately, 179.

    Note that the value of straight pi is taken as 3.14 which is an approximate value of . Though it is not exact, we can use this to find the value of a mathematical expression. We can take the value of straight pi as 22 over 7 also.

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