Question

The base area of a right circular cylinder is 16K cm³. Its height is 5 cm. Its curved surface area is​

Answer 1

Given :

• The base area of a right circular cylinder =16 picm³

•Height =5cm

To Find :

•It's curved surface area =?

Solution :

Given that :

•A right circular cylinder having a base area of 16 pi cm² and a height of 5cm.

Here,

Base area and the height is given we need to find the surface area of the cylinder.

Step (1) :

Finding the radius of the cylinder :

• Base area refers to the circle at the bottom of the cylinder.

Base area of a cylinder is given by : $\tt{\pi r^{2}}$

• Base area is $\bf{16 \pi cm²}$

• r=radius

• Taking $\tt{\pi \: as \: \dfrac{22}{7}}$

Form the given values :

$\implies \sf \: base \: area = \pi {r}^{2}$

$\implies \sf \: 16\pi = \pi {r}^{2}$

$\implies \sf \: {r}^{2} = 16$

$\implies \boxed{ \bf{r = 4cm \: }}$

Step (2):

Finding the surface area of cylinder :

• radius =4cm

• $\sf{\pi=3.14}$

•height =5cm (given)

From the values :

$\\ \implies \sf \: surface \: area \: of \: cylinder = 2 \times 3.14 \times 4 \times 5$

$\\ \implies \boxed{ \bf{surface \: area \: of \: cylinder = 125.6 {cm}^{2} }}$

Therefore, the surface area of cylinder is 125.6cm²

Answer 2

Answer:

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