Question

Find the curved surface area and total surface area of a
whose height is 15 cm and the radius of the base is 7 cm.
and total surface area of a right circular cylinder
The diamoter​

Answer 1

Correct Question :

Find the curved surface area and Total surface area of a right circular cylinder whose height is 15cm and radius of the base is 7cm.

AnswEr :

$\bullet\:\sf\ Height \: of \: cylinder(h) = \bf\ 15cm$

$\bullet\:\sf\ Radius \: of \: cylinder(r) = \bf\ 7cm$

$\bullet\:\sf\ We \: have \: to \: find \: \bf\ curved \: suface \: area \\ \sf\ and \: \bf\ total \: surface \: area$

$\underline{\bigstar\:\textsf{According \: to \: given \: in \: Question:}}$

$\normalsize\star \: {\boxed{\sf{Curved \: surface \: area = 2 \pi rh}}}$

$\normalsize\ : \implies\sf\ C.S.A = 2 \times\ \frac{22}{\cancel{7}} \times\ \cancel{7} \times\ 15$

$\normalsize\ : \implies\sf\ C.S.A = 2 \times\ 22 \times\ 15$

$\normalsize\ : \implies\sf\ C.S.A = 30 \times\ 22$

$\normalsize\ : \implies\sf\ C.S.A = 660$

$\normalsize\ : \implies{\underline{\boxed{\sf \pink{C.S.A = 660cm^{2} }}}}$

$\normalsize\star \: {\boxed{\sf{Total \: surface \: area = 2 \pi r[r +h] }}}$

$\normalsize\ : \implies\sf\ T.S.A = 2 \times\ \frac{22}{\cancel{7}} \times\ \cancel{7} [ 7 +15]$

$\normalsize\ : \implies\sf\ T.S.A = 2 \times\ 22[22]$

$\normalsize\ : \implies\sf\ T.S.A = 44 \times\ 22$

$\normalsize\ : \implies\sf\ T.S.A = 968$

$\normalsize\ : \implies{\underline{\boxed{\sf \blue{T.S.A = 968cm^{2} }}}}$

Answer 2

Answer:

★ CSA = 660 Cm² ★

★ TSA = 968 Cm² ★

Step-by-step explanation:

Given:

• Height of right circular cylinder is 15 cm
• Radius of base of right circular cylinder is 7 cm

To Find:

• Curved surface area and Total Surface area of cylinder

Solution:

★ CSA of cylinder = 2πrh ★

• Putting values

$\small\implies{\sf }$ CSA = 2 x 22/7 x 7 x 15

$\small\implies{\sf }$ CSA = 44 x 15

$\small\implies{\sf }$ CSA = 660 cm²

Hence, Curved Surface area of right circular cylinder is 660 cm²

__________________________________

★ TSA of cylinder = 2πr ( h + r ) ★

• Putting values

$\small\implies{\sf }$ 2 x 22/7 x 7 ( 15 + 7 )

$\small\implies{\sf }$ 2 x 22 ( 22)

$\small\implies{\sf }$ 44 x 22

$\small\implies{\sf }$ 968 cm²

Hence, Total Surface area of right circular cylinder is 968 cm²