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Difficulty Level:

Easy

MCQ

Ori was given this problem:

The radius r(t)r({t}) of the base of a cone is increasing at a rate of 10 meters per second. The height h(t){h}({t}) of the cone is fixed at 6 meters. At a certain instant t0t_{0}, the radius is 1 meter. What is the volume v(t){v}({t}) of the cone at that instant? Which equation should Ori use to solve the problem?

Select all that apply :

v(t)=π3[r(t)]2h(t)v(t)=\frac{\pi}{3}[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)]2h(t)v(t)=\pi[r(t)]^2 \cdot 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}

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