Question

What will be the height of a cylinder whose radius is 7 cm and the total surface area is 968 $c{m}^2$ ?

• A. $16$ cm
• B. $14$cm
• C. $15$ cm
• D. None of these

Answer 1

The correct option is C $15$ cm

Let height of the cylinder = h, radius r = 7 cm
Total surface area = $2\pi r(h+r)$
i.e, $2\times \frac{22}{7}\times 7\times (7+h)=968$
h = 15 cm
hence, the height of the cylinder is $15$ cm.