Question: A hemisphere has a radius of 3 cm. What is its volume?
Options:
18π cm³
27π cm³
36π cm³
9π cm³
Correct Answer: 18π cm³
Solution:
Volume of a hemisphere = (2/3)πr³ = (2/3)π(3)³ = (2/3)π(27) = 18π cm³.
A hemisphere has a radius of 3 cm. What is its volume?
Practice Questions
Q1
A hemisphere has a radius of 3 cm. What is its volume?
18π cm³
27π cm³
36π cm³
9π cm³
Questions & Step-by-Step Solutions
A hemisphere has a radius of 3 cm. What is its volume?
Step 1: Identify the formula for the volume of a hemisphere, which is (2/3)πr³.
Step 2: Substitute the radius (r) into the formula. Here, the radius is 3 cm.
Step 3: Calculate r³. Since r is 3, we find 3³ = 3 × 3 × 3 = 27.
Step 4: Now substitute 27 back into the formula: Volume = (2/3)π(27).
Step 5: Multiply (2/3) by 27. This gives us (2 × 27) / 3 = 54 / 3 = 18.
Step 6: Finally, write the volume as 18π cm³.
Volume of a Hemisphere – The formula for the volume of a hemisphere is derived from the formula for the volume of a sphere, adjusted for half the volume.
Substitution and Calculation – Correctly substituting the radius into the volume formula and performing the calculations accurately.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
