Question

Find the height of a cylinder whose radius is 7cm and Total Surface Area is 968cm2 with steps​

Answer 1

HEIGHT = 15cm

Step-by-step explanation:

2 * 22/7 * 7 (7+h )= 968

2 * 22 (7+h)=968

(7+h) = 968/44

7 + h = 22

h = 22 - 7

= 15 cm

Answer 2

Answer:

The height of cylinder is 15 cm.

Step-by-step explanation:

Given :

• ✧ Radius of cylinder = 7cm
• ✧ Total surface area = 968cm²

To Find :

• ✧ Height of cylinder

Using Formula :

${\star{\small{ \underline{ \boxed{\sf{\red{TSA_{(Cylinder)} = 2\pi r(r + h)}}}}}}}$

• ✧ Tsa = Total surface area
• ✧ π = 22/7
• ✧ r = radius
• ✧ h = height

Solution :

Substituting all the given values in the formula to find height of cylinder :

${\longrightarrow{\small{\sf{ \: TSA_{(Cylinder)} = 2\pi r(r + h)}}}}$

${\longrightarrow{\small{\sf{ \: 968= 2 \times \dfrac{22}{7} \times 7(7 + h)}}}}$

${\longrightarrow{\small{\sf{ \: 968= 2 \times \dfrac{22}{\cancel{7}} \times \cancel{7}(7 + h)}}}}$

${\longrightarrow{\small{\sf{ \: 968= 2 \times 22(7 + h)}}}}$

${\longrightarrow{\small{\sf{ \: 968= 44(7 + h)}}}}$

${\longrightarrow{\small{\sf{ \: (7 + h) = \dfrac{968}{44}}}}}$

${\longrightarrow{\small{\sf{ \: (7 + h) = \cancel{\dfrac{968}{44}}}}}}$

${\longrightarrow{\small{\sf{ \: (7 + h) = 22}}}}$

${\longrightarrow{\small{\sf{ \: 7 + h = 22}}}}$

${\longrightarrow{\small{\sf{ \: h = 22 - 7}}}}$

${\longrightarrow{\small{\sf{ \: h = 15 \: cm}}}}$

${\star{\small{ \underline{ \boxed{\sf{\red{Height = 15cm}}}}}}}$

Hence, the height of cylinder is 15 cm.

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