Free Sample Paper! Boost your grades with additional practice papers.
Question
Difficulty Level:

Easy

MCQ

Aiden was given this problem: The radius r(t){r}({t}) of the base of a cylinder is increasing at a rate of 1 meter per hour and the height h(t){h}({t}) of the cylinder is decreasing at a rate of 4 meters per hour. At a certain instant t0t_{0}, the base radius is 5 meters and the height is 8 meters. What is the volume v(t){v}({t}) of the cylinder at that instant?

Which equation should Aiden use to solve the problem?

Select all that apply :

v(t)=π[r(t)]2h(t)v(t)=\pi[r(t)]^2 h(t)

v(t)=π[r(t)]2+2πr(t)h(t)v(t)=\pi[r(t)]^2+2 \pi r(t) h(t)

v(t)=π[r(t)]2+πr(t)[r(t)]2+[h(t)]2v(t)=\pi[r(t)]^2+\pi r(t) \sqrt{[r(t)]^2+[h(t)]^2}

None of the above

0 Claps
- Create Free Account

Create a free account to view solution to this Question

By signing up, you accept PrepHub’sterms of serviceand dataprivacy policy.