Answer:
D 36πa^6b^9
Step-by-step explanation:
Step 1. Write the formula for the volume of a sphere.
V = (4/3)πr³
Step 2. Replace r with the given radius. Since the given radius is an expression, remember to enclose it in parentheses and cube the entire expression.
V = (4/3)π(3a²b³)³
Step 3. Simplify the expression. Start by cubing each factor inside the parentheses.
V = (4/3)π ×(3)³(a²)³(b³)³
To raise an exponent to an exponent, multiply the exponents.
V = (4/3)π × 27a^6b^9
V = (4/3 × 27)πa^6b^9
V = 36πa^6b^9
Answer: D 36πa^6b^9
