In the diagram, a cylinder is surmounted by a hemispherical bowl. Calculate the volume of the solid

Assessment: JAMB UTME - Mathematics - 2002 Subject: General Mathematics

Question 1 Report

In the diagram, a cylinder is surmounted by a hemispherical bowl. Calculate the volume of the solid

198

π c m^{3}

180

π c m^{3}

162

π c m^{3}

216

π c m^{3}

Answer Details

V =

π r^{2} h + \frac{2}{3} π r^{3}

N.B h = r

V = $π x (3)^{2}$ x 20 = $\frac{2}{3} \times π \times (3)^{3}$

180 $π + 18 π = 198 c m^{3}$

Read lesson note on Volumes (WAEC)

Read lesson note on Euclidean Geometry (JAMB)

Euclidean Geometry

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