Question

The volume of cylinder is308cm³ . Its height is 8cm Find its lateral surface area and
total surface area

Answer 1

HEYA!!!

Given , dimensions of cylinder, h = 8 cm.

volume of cylinder = 308 cm

volume of cylinder =
$\pi{r}^{2} h$
= 22/7 × r^2 × 8

308 = 22/7 × r^2 × 8

308 = 25.14 × r^2

r^h = 308/25.14

r^2= 12.24

$r = \sqrt{12.24}$
r= 3.48

LSA of cylinder =
$2\pi \: r \: h$
= 2 × 22/7 × 3.48 × 8

= 16 × 22/7 × 3.48

= 50.28 × 3.48

= 174.99 cm^2


TSA of cylinder =
$\pi \: r \: \times (r + h)$
= 22/7 × ( 3.48 + 8)

= 22/7 × ( 11.48)

= 36.08cm^2....



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Answer 2

ANSWER
......................



dimensions of cylinder, h = 8 cm.

volume of cylinder = 308 cm 

volume of cylinder = 
$2\pi \: r \:$

= 22/7 × r^2 × 8 

308 = 22/7 × r^2 × 8 

308 = 25.14 × r^2 

r^h = 308/25.14 

r^2= 12.24


r=√​12.24​​​ 

r= 3.48 

LSA of cylinder = 
$2\pi \: r$

= 2 × 22/7 × 3.48 × 8 

= 16 × 22/7 × 3.48

= 50.28 × 3.48

= 174.99 cm^2


TSA of cylinder = 
$2\pi \: r \: \times$
(r + h)πr×(r+h) 


= 22/7 × ( 3.48 + 8) 

= 22/7 × ( 11.48) 

= 36.08cm^2....