A right circular cone of height 33m is recasted into a cylinder in such a way that radius of cylinder is same as the radius of the cone. Find the height of the cylinder. [2 MARKS]

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Solution

Concept: 0.5 Mark
Formula: 0.5 Mark
Application: 1 Mark

Volumes cone = Volume of cylinder

$\frac{1}{3} π r^{2} h_{c o n e} = π r^{2} h_{c y l}$

$h_{c y l} = \frac{h_{c o n e}}{3}$

$h_{c y l} = \frac{33}{3} = 11 m$

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A right circular cone of height 33m is recasted into a cylinder in such a way that radius of cylinder is same as the radius of the cone. Find the height of the cylinder. [2 MARKS]

Concept: 0.5 Mark Formula: 0.5 Mark Application: 1 Mark Volumes cone = Volume of cylinder 13πr2hcone=πr2hcyl hcyl=hcone3 hcyl=333=11m

Concept: 0.5 Mark
Formula: 0.5 Mark
Application: 1 Mark

Volumes cone = Volume of cylinder

$\frac{1}{3} π r^{2} h_{c o n e} = π r^{2} h_{c y l}$

$h_{c y l} = \frac{h_{c o n e}}{3}$

$h_{c y l} = \frac{33}{3} = 11 m$