Question

find CSA and TS A & Cylinder of height 7cm and circumference of base is 66cm. ​
plz answer fast

Answer 1

Answer:

Circumference : 2πr

66 = 2×22/7×r

66×7/2×22 = r

r = 10.5cm

CSA of cylinder : 2πrh

CSA = 2 × 66 × 7

CSA = 924cm²

TSA of cylinder : 2πr(r+h)

TSA = 66(10.5+7)

TSA = 66×17.5

TSA = 1155cm²

Answer 2

Answer:

Given :-

• A cylinder whose height is 7 cm and circumference of base is 66 cm.

To Find :-

• What is the CSA and TSA of Cylinder.

Solution :-

First, we have to find the radius :

Given :

• Circumference of base = 66 cm

According to the question by using the formula we get,

$\implies \sf\boxed{\bold{Circumference_{(Circle)} =\: 2{\pi}r}}$

where,

• π = Pie or 22/7
• r = Radius

So,

$\implies \bf Circumference_{(Circle)} =\: 2{\pi}r$

$\implies \sf 66 =\: 2{\pi}r$

$\implies \sf 66 =\: 2 \times \dfrac{22}{7} \times r$

$\implies \sf 66 =\: \dfrac{44}{7} \times r$

$\implies \sf 66 \times \dfrac{7}{44} =\: r$

$\implies \sf \dfrac{462}{44} =\: r$

$\implies \sf\bold{10.5 =\: r}$

Hence, the radius is 10.5 cm .

☆ In case of curved surface area or CSA Of Cylinder :

Given :

• Radius = 10.5 cm
• Height = 7 cm

According to the question by using the formula we get,

$\implies \sf\boxed{\bold{C.S.A._{(Cylinder)} =\: 2{\pi}rh}}$

where,

• C.S.A. = Curved Surface Area
• π = Pie or 22/7
• r = Radius
• h = Height

So, by putting those values we get :

$\implies \sf C.S.A._{(Cylinder)} =\: 2 \times \dfrac{22}{7} \times 10.5 \times 7$

$\implies \sf C.S.A._{(Cylinder)} =\: \dfrac{44}{7} \times 73.5$

$\implies \sf C.S.A._{(Cylinder)} =\: \dfrac{3234}{7}$

$\implies \sf\bold{\underline{C.S.A._{(Cylinder)} =\: 462\: cm^2}}$

$\therefore$ The curved surface area or CSA of Cylinder is 462 cm² .

☆ In case of total surface area or TSA of Cylinder :

Given :

• Radius = 10.5 cm
• Height = 7 cm

According to the question by using the formula we get,

$\implies \sf\boxed{\bold{T.S.A._{(Cylinder)} =\: 2{\pi}r(r + h)}}$

$\implies \sf T.S.A._{(Cylinder)} =\: 2 \times \dfrac{22}{7} \times 10.5(10.5 + 7)$

$\implies \sf T.S.A_{(Cylinder)} =\: \dfrac{44}{7} \times 10.5(17.5)$

$\implies \sf T.S.A._{(Cylinder)} =\: \dfrac{44}{7} \times 10.5 \times 17.5$

$\implies \sf T.S.A._{(Cylinder)} =\: \dfrac{44}{7} \times 183.75$

$\implies \sf T.S.A._{(Cylinder)} =\: \dfrac{8085}{7}$

$\implies \sf\bold{\underline{T.S.A._{(Cylinder)} =\: 1155\: cm^2}}$

$\therefore$ The total surface area or TSA of a cylinder is 1155 cm² .