Question

Find radius of a cylinder whose Curved Surface area is 1672 cm² and height 14 cm.​

Answer 1

Step-by-step explanation:

2×22/7×x×14= 1672

x×14 = 1672×7/22

x×14 = 11704/22

x×14 = 532

x = 532/14

x = 38.

Answer 2

Answer:

∴ The radius of a cylinder is $19$ cm.

Step-by-step explanation:

• In context with question asked,
• We have to find the radius of a cylinder.
• It is given that, Curved Surface area of a cylinder = $1672$ $cm^{2}$

                      Height of a cylinder = $14$ cm

• We know that, the formula for Curved Surface area of a cylinder is given by,

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

                                               ∴ $1672=2\times \frac{22}{7} \times r\times 14$

                                               ∴ $1672=2\times 22\times r\times2$

                                               ∴ $1672=88\times r$

                                                   ∴ $r=\frac{1672}{88}$

                                                   ∴ $r=19$

• ∴ The radius of a cylinder is $19$ cm.