The formula for the volume of a right circular cylinder is V=πr^2h. If the height, h, is 3 feet, then the volume is a function of the radius, r.
a)write this formula in function notation, where the height is 3 feet.
b) find the volume if the radius is 2 feet.
Answer:
a) V(r)=πr^2(3)
b)V(2)=π(2)^2(3) ---> V=37.7
Is this correct?
Yes, your answer is correct.
a) The formula for the volume of a right circular cylinder can be written in function notation as V(r) = πr^2(3), where V(r) represents the volume of the cylinder as a function of the radius, r, when the height is 3 feet.
b) To find the volume when the radius is 2 feet, you substitute the value of 2 for r in the function V(r). So, V(2) = π(2)^2(3) = 4π(3) = 12π. Evaluating this, the volume is approximately 37.7 cubic feet.
Yes, your answers are correct!
a) To write the formula in function notation, we can replace the fixed height, h, with the given value of 3 feet. Therefore, the formula becomes V(r) = πr^2(3), where V(r) represents the volume as a function of the radius, r.
b) To find the volume when the radius is 2 feet, we can substitute the value of r = 2 into the function. Therefore, V(2) = π(2)^2(3) = π(4)(3) = 12π. Evaluating this expression, we can approximate the volume as V ≈ 37.7, considering π as approximately 3.14.
yes.
I would have left it as V(2) = 12π ft^2, which exact.
37.7 is just an approximation.