Question

the curved surface area of cylinder is 4620cmsquare. find the radius of hieght is 35​

Answer 1

$\mathfrak{Answer:}$

$\mathfrak{Step-by-step\:explanation:}$

Given :

• Curved Surface Area = 4620 cm².
• Height = 35 cm.

Let the radius of the cylinder be r cm.

We know that,

$\boxed{\bold{Curved\:Surface\:Area\:of\:Cylinder=2\pi rh. }}\\\\\\\underline{\bold{According\:to\:question,}}\\\\\\\implies\bold{2\pi rh=4620}\\\\\\\implies\bold{2\times \pi\times r \times 35=4620}\\\\\\\implies\bold{70\pi r=4620}\\\\\\\implies\bold{r=\dfrac{4620}{70\pi}}\\\\\\\implies\bold{r=\dfrac{4620\times 7}{70\times 22}}\\\\\\\implies\bold{r=7\times 3=21.}\\\\\\\boxed{\boxed{\bold{Radius=r=21\:cm.}}}$

Answer 2

Given :

Curve surface area of a cylinder = 4620${cm}^{2}$

Height = 35 cm

Let take the radius of the given cylinder as r .

According to the question,

Curve surface area = 2$\pi$rh

Solve the Right Hand Side firstly ,

⇒ 4620${cm}^{2}$ = 2 × $\frac{22}{7}$ × r × 35 cm

⇒ 4620${cm}^{2}$ = 2 × 22 × r × 5cm

after solving the Right hand side , shift the terms to the Left hand side.

⇒ 4620${cm}^{2}$ = 220 cm × r

Divide the 4620 ${cm}^{2}$ and 220cm to find the unknown radius.

⇒ $\frac{4620}{220}$ cm = r

⇒ 21 cm = r

$\therefore$ Radius is 21 cm.