Question

find the height of a cylinder whose radius is 7cm and total surface area is 968².

Answer 1

Answer:

Hey!! here is your required answer stepwise-:

Given,

Radius of the cylinder = 7cm

Total surface area = 968²

Let height of cylinder = h

Total surface area = 968²

= 2πr ( r + h )

= 2 × (22/7) × 7 × ( 7 + h ) = 968

= 2 × 22 ( 7 + h ) = 968

= 44 × ( 7 + h ) = 968

= 7 + h = 968/44

= 7 + h = 22

= h = 22 - 7

= h = 15 cm

Thus,the height of cylinder is 15 cm.

Answer 2

$\huge\fbox{\underline\green{Answer}:}$

15 cm .

$\underline\red{Solution}:-$

• Total surface area = 968 cm$^{2}$

• Radius = 7 cm

• Height = ?

Total surface area = 2πr(h+r)

⠀⠀⠀968 = $2 \times \frac{22}{7} \times 7(7 + h)$

⠀⠀⠀ 968 = $2 \times 22(7 + h)$

⠀⠀⠀ 968 = $44(7 + h)$

⠀⠀⠀$\frac{968}{44}$= 7 + h

⠀⠀⠀⠀22 = 7+ h

⠀⠀⠀⠀22 - 7 = h

⠀⠀⠀⠀ 15 cm = h $\bold\blue{Ans.}$