If a cylinder has radius 6 and height h (in centimeters), which of the following definite integrals represents the volume using slices? A) $\int_{0}^{h} 36 \pi d x$ cm³ B) $\int_{0}^{h} 12 \pi d x$ cm³ C) $\int_{0}^{6} 6 h \pi d x$ cm³ D) $\int_{0}^{6} h^{2} \pi d x$ cm³

Question

Quizplus · Accepted Answer

The volume of a cylinder is given by the formula $V = \pi r^2 h$. For a cylinder with radius 6, the area of the base is $36\pi$. Integrating this area over the height $h$ from 0 to $h$ gives the volume, hence $\int_{0}^{h} 36 \pi dx$ correctly represents the volume.

If a Cylinder Has Radius 6 and Height H (In ∫0h36πdx\int_{0}^{h} 36 \pi d x∫0h​36πdx

If a Cylinder Has Radius 6 and Height H (In $\int_{0}^{h} 36 \pi d x$