Question

Find the total surface area, curved surface area and volume of a cylinder of dimensions
(a) r= 2.8 m and h = 1.5 m
please answer this Question
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Answer 1

Total Surface Area :-

• Radius = 2.8 m

• Height = 1.5 m

$\color{purple}{T.S.A = 2 \: π\:r(r\:+\:h)} \\ => \bf{Lets\:put\:the\:values} \\ => 2 \times \frac{22}{7} \times 2.8 \times (2.8 \times 1.5) \\ => 2 \times \frac{22}{7} \times 2.8 \times 4.3 \\ => 2 \times 22 \times 0.4 \times 4.3 \\ => \boxed{75.68}$

Thus TSA is 75.68 m²

Lateral Surface Area :-

• Radius = 2.8 cm

• Height = 1.5 cm

$\color{orange}{L.S.A = 2 \: π \: r \: h} \\ =>\bf{lets\:put\:the\:values} \\ => 2 \times \frac{22}{7} \times 2.8 \times 1.5 \\ => 2 \times 22 \times 0.4 \times 1.5 \\ =>\boxed{26.5}$

Thua L.S.A is 26.5 m²

Volume :-

• Radius = 2.8 m

• Height = 1.5 m

$\color{lime}{Volume = π\:r²\:h} \\ => \bf{Lets\:put\:the\:values} \\ => \frac{22}{7} \times 2.8\times 2.8 \times 1.5 \\ => 22 \times 0.4 \times 2.8 \times 1.5 \\ =>\boxed{36.96}$

Thus The Volume is 36.96 cm³

Hope it helped