Question

find the tsa and csa of a right circular cylinder of height 15 cm and whose base radius is 7cm
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Answer 1

Answer:

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Answer 2

$\bf{\underline{\underline{Given}}}$

$\mathsf{\bigstar\: Height (h) = 15\:cm}$

$\mathsf{\bigstar\: Radius (R) = 7\:cm}$

$\bf{\underline{\underline{To\:find}}}$

$\mathsf{\bigstar\: Curved\:surface\:area}$

$\mathsf{\bigstar\: Total\:surface\:area}$

$\bf{\underline{\underline{Solution}}}$

$\mathsf{For\:right\:circular\:cylinder}$

$\mathsf{\diamond\:\: CSA\:of\:cylinder = 2\pi Rh}$

$\mathtt{\implies\: 2 × \frac{22}{7} × 7\:cm × 15\:cm}$

$\mathtt{\implies\: 2 × \frac{22}{\cancel{7}} × \cancel{7} \:cm × 15\:cm}$

$\mathtt{\implies\: 2 × 22 × 1\:cm × 15\:cm}$

$\mathtt{\implies\: 44 × 15\: cm^{2}}$

$\fbox{\mathtt{\red{\implies\: 660\: cm^{2}}}}$

$\mathsf{\diamond\:\: TSA\:of\:cylinder = CSA + 2 × Area \: of \: base}$

$\mathtt{\implies\: 2\pi R h + 2 \pi R^{2}}$

$\mathtt{\implies\: 660\: cm^{2} + 2 × \frac{22}{7} × 7\:cm × 7\:cm}$

$\mathtt{\implies\: 660\: cm^{2} + 2 × \frac{22}{\cancel{7}} × \cancel{7}\:cm ×7\:cm }$

$\mathtt{\implies\: 660\: cm^{2} + 2 × 22 × 1\:cm × 7\:cm}$

$\mathtt{\implies\: 660\: cm^{2} + 44\:cm × 7\:cm}$

$\mathtt{\implies\: 660\: cm^{2} + 308\:cm^{2}}$

$\fbox{\mathtt{\green{\implies\: 968\:cm^{2}}}}$

• CSA = 660 cm²
• TSA = 968 cm²