Question

Find the curved surface area and total surface area of a right circular cylinder
whose height is 15 cm and the radius of the base is 7 cm.
​

Answer 1

$\large{\underline{\rm{\blue{\bf{Given:-}}}}}$

➺ Height of the circular cylinder = 15 cm

➺ Radius of the base = 7 cm

$\large{\underline{\rm{\blue{\bf{To \: Find:-}}}}}$

➺ The curved surface area.

➺ The total surface area.

$\large{\underline{\rm{\blue{\bf{Solution:-}}}}}$

We know that,

• h = Height
• r = Radius
• d = Diameter

Given that,

Height (h) = 15 cm

Radius (r) = 7 cm

$\sf \red{Curved \: surface \: area\: of\: cylinder = 2 \pi rh}$

Substituting their values,

$\implies \sf 2 \times \dfrac{22}{7} \times 7 \times 15$

$\implies \sf 2 \times 22 \times 15$

$\implies \sf 660 \: cm^{2}$

Therefore, the curved surface area of the cylinder is 660 cm²

Now, finding the surface area of the cylinder

$\sf \red{Total\: surface \: area \: of \: cylinder =2 \pi r(r+h) }$

Substituting their values,

$\implies \sf 2 \times \dfrac{22}{7} \times (7+15)$

$\implies \sf 44 \times 22$

$\implies \sf 968 \: cm^{2}$

Therefore, the total surface area of the cylinder is 968 cm²