Question

Find the volume, curved surface area and total surface area of each of the cylinders
whose dimensions are:
(1) radius of the base - 7 cm and height 50 cm
(2) radius of the base -5.6 m and height = 1.25 m​

Answer 1

Answer:

ANSWER IS GIVEN IN THE PICTURE ABOVE U CAN CHECK THERE......

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\therefore{\text{Volume\:of\:cylinder=7700\:cm}^{3}}}$

$\green{\therefore{\text{C.S.A\:of\:cylinder=2200\:cm}^{2}}}$

$\green{\therefore{\text{T.S.A\:of\:cylinder=2508\:cm}^{2}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{ \underline \bold{Given : }} \\ : \implies \text{Radius(r) = 7 \: cm} \\ \\ : \implies \text{Height(h) = 50 \: cm} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Volume \: of \: cylinder = ? }\\ \\ : \implies \text{C.S.A \: of \: cylinder = ? }\\ \\ : \implies \text{T.S.A\: of \: cylinder = ? }$

• According to given question :

$\bold{As \: we \: know \: that } \\ : \implies \text{Volume \: of \: cylinder} = \pi {r}^{2} h \\ \\ : \implies \text{Volume \: of \: cylinder} = \frac{22}{7} \times {7}^{2} \times 50 \\ \\ : \implies \text{Volume \: of \: cylinder} =22 \times 7 \times 50 \\ \\ \green{ : \implies \text{Volume \: of \: cylinder} =7700 \: {cm}^{3} } \\ \\ \bold{As \: we \: know \: that} \\ : \implies \text{C.S.A\: of \: cylinder} =2\pi rh \\ \\ : \implies \text{C.S.A\: of \: cylinder} =2 \times \frac{ 22}{7} \times 7 \times 50 \\ \\ : \implies \text{C.S.A\: of \: cylinder} =2 \times 22 \times 50 \\ \\ \green{ : \implies \text{C.S.A\: of \: cylinder} =2200 \: {cm}^{2}} \\ \\ \bold{As \: we \: know \: that} \\ : \implies \text{T.S.A\: of \: cylinder} =2\pi r(h + r) \\ \\ : \implies \text{T.S.A\: of \: cylinder} =2 \times \frac{22}{7} \times 7(50 + 7) \\ \\ : \implies \text{T.S.A\: of \: cylinder} =2 \times 22 \times 57 \\ \\ \green{ : \implies \text{T.S.A\: of \: cylinder} =2508 \: {cm}^{2} }$

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\therefore{\text{Volume\:of\:cylinder=123.2\:m}^{3}}}$

$\green{\therefore{\text{C.S.A\:of\:cylinder=44\:m}^{2}}}$

$\green{\therefore{\text{T.S.A\:of\:cylinder=241.12\:m}^{2}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{ \underline \bold{Given : }} \\ : \implies \text{Radius(r) = 5.6 \: m} \\ \\ : \implies \text{Height(h) = 1.25 \: m} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Volume \: of \: cylinder = ? }\\ \\ : \implies \text{C.S.A \: of \: cylinder = ? }\\ \\ : \implies \text{T.S.A\: of \: cylinder = ? }$

• According to given question :

$\bold{As \: we \: know \: that } \\ : \implies \text{Volume \: of \: cylinder} = \pi {r}^{2} h \\ \\ : \implies \text{Volume \: of \: cylinder} = \frac{22}{7} \times {5.6}^{2} \times 1.25 \\ \\ : \implies \text{Volume \: of \: cylinder} =22 \times 4.48 \times 1.25 \\ \\ \green{ : \implies \text{Volume \: of \: cylinder} =123.2 \: {m}^{3} } \\ \\ \bold{As \: we \: know \: that} \\ : \implies \text{C.S.A\: of \: cylinder} =2\pi rh \\ \\ : \implies \text{C.S.A\: of \: cylinder} =2 \times \frac{ 22}{7} \times 5.6 \times 1.25 \\ \\ : \implies \text{C.S.A\: of \: cylinder} =2 \times 22 \times 1\\ \\ \green{ : \implies \text{C.S.A\: of \: cylinder} =44 \: {m}^{2}} \\ \\ \bold{As \: we \: know \: that} \\ : \implies \text{T.S.A\: of \: cylinder} =2\pi r(h + r) \\ \\ : \implies \text{T.S.A\: of \: cylinder} =2 \times \frac{22}{7} \times 5.6(1.25 + 5.6) \\ \\ : \implies \text{T.S.A\: of \: cylinder} =2 \times 22 \times 5.48 \\ \\ \green{ : \implies \text{T.S.A\: of \: cylinder} =241.12 \: {m}^{2} }$