Question

Base area and volume of a solid right circular cylinder are 13.86 sq.cm and 69.3 cu.cm respectively.Find its height and curved surface area​

Answer 1

Pls mark as brainliest answer

Answer 2

Step-by-step explanation:

Given:-

• Base area of the circular cylinder (A) = 12.86cm²

• Volume of the cylinder (V) = 69.3cm³

To Find:-

• The height of the cylinder .

• The curved surface area of the cylinder.

Solution:-

Base area of circular cylinder = πr²

$\rm \dashrightarrow 13.86 = \pi {r}^{2}$

$\rm Volume \: of \: cylinder = \pi {r}^{2}h$

$\rm\dashrightarrow 69.3 = \pi {r}^{2}h$

$\rm\dashrightarrow 69.3 = (13.86)h$

$\rm\dashrightarrow h = \dfrac{69.3}{13.86}$

$\rm\dashrightarrow h = 5cm$

$\underline{\boxed{\pink{\rm \therefore Height \: of \: the \: cylinder = 5cm}}}$

Now, let us find the radius of the cylinder

$\rm \dashrightarrow \pi {r}^{2}= 13.86$

$\rm \dashrightarrow {r}^{2} = \dfrac{13.86}{\pi}$

$\rm \dashrightarrow {r}^{2} = 13.86\times \dfrac{7}{22} \: = \: 4.41$

$\rm \dashrightarrow {r} = \sqrt{ 4.41} = 2.1cm$

Now, Curved Surface area of cylinder (CSA) = 2πrh

$\rm = 2 \times \dfrac{22}{7} \times 2.1 \times 5$

$\rm = 2 \times 22 \times 0.3 \times 5$

$\rm = 44 \times 1.5$

$\rm = 66 {cm}^{2}$

$\underline{\boxed{\purple{\rm \therefore CSA\: of \: the \: cylinder = 66 {cm}^{2}}}}$