Multiple choice

The inner radius of a hemisphere basin is 5.6 cm. What is the volume of the water that it can hold?

  1. 284 ml

  2. 300 ml

  3. 367.957 ml

  4. 257.09 ml
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Volume of a hemisphere = (2/3) * pi * r^3. With r = 5.6 cm, V = (2/3) * 3.14159 * (5.6)^3 = (2/3) * 3.14159 * 175.616 = 367.957 cm^3. Since 1 cm^3 = 1 ml, the volume is 367.957 ml.

AI explanation

The volume of a hemisphere is found using the formula two thirds times pi times the radius cubed. Substituting the inner radius of 5.6 cm gives two thirds times 22 over 7 times 5.6 cubed, which results in approximately 367.96 cubic cm. Because one cubic cm is equal to one milliliter, the volume of water it can hold is 367.957 ml.

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