Question

The h eight of a cylinder whose radius is 7 m and the curved surface area is 88 m². (a)11 m (b) 2 m (c) 8 m (d) 4 m​

Answer 1

We can find the height of the cylinder, using the formula of curved surface area (CSA) of cylinder.

The curved surface area (CSA) of cylinder having its base radius 'r' and height 'h' is given by:

$\longrightarrow CSA_{(cylinder)} = 2\pi rh$

By substituting the given values in the formula, we get the following results:

$\longrightarrow 88 = 2 \times \dfrac{22}{\cancel{7}} \times \cancel{7} \times h$

$\longrightarrow 88 = 2 \times 22 \times h$

$\longrightarrow 88 = 44 \times h$

$\longrightarrow h = \dfrac{88}{44}$

$\longrightarrow \underline{\underline{h = 2}}$

Hence, option (b) 2m is correct.

Answer 2

Answer:

∴ The required value of height of a cylinder is $2$ m.

∴ Option (b) $2$ m is correct.

Step-by-step explanation:

• In context with question asked,
• We have to find the height of a cylinder.
• It is given that, the radius of a cylinder = $7$ m
• Curved surface area of a cylinder = $88$ $m^{2}$
• Now, to find the height of a cylinder, we have to use the formula for curved surface area of a cylinder.
• The formula is given by,

    Curved surface area of a cylinder = $2\pi rh$

                                              ∴ $88=2\times \frac{22}{7} \times 7 \times h$

                                              ∴ $88 = 2\times 22\times h$

                                               ∴ $h = \frac{88}{2\times 22}$

                                               ∴ $h=2$ m

• ∴ The required value of height of a cylinder is $2$ m.
• ∴ Option (b) $2$ m is correct.