Jambmaths question:
In the diagram above, a cylinder is surmounted by a hemispherical bowl. Calculate the volume of the solid.
Option A:
180πcm3
Option B:
162πcm3
Option C:
216πcm3
Option D:
198 πcm3
Jamb Maths Solution:
$\begin{align} & \text{Volume of cylinder }=\pi {{r}^{2}}h \\ & {{V}_{cylinder}}=\pi \times {{3}^{2}}\times 20=180\pi c{{m}^{3}} \\ & \text{Volume of hemisphere }=\tfrac{2}{3}\pi {{r}^{3}} \\ & {{V}_{hemisphere}}=\tfrac{2}{3}\times \pi \times {{3}^{3}}=18\pi c{{m}^{3}} \\ & \text{Volume of the composite}=(180\pi +18\pi )c{{m}^{3}} \\ & V=198\pi c{{m}^{3}} \\\end{align}$
Jamb Maths Topic:
Year of Exam: