Question

Hello Hello

Curved Surface Area of a right circular cylinder of height 14 cm is 88 cm². Find the diameter of the base of the cylinder.

Don't spam please ​

Answer 1

Answer:

2cm

Step-by-step explanation:

CSA of right circular cylinder= 88 = 2πrh

88 = 2× 22\7 × r× 14

88 = 88 r

1 = r

r = 1cm

so d = 2 cm

Answer 2

$\bold \red{ \: Answer :}$

• Diameter of the base of the cylinder is 2 cm.

$\bold \red{ \: Explanation :}$

Given,

• Curved Surface Area = 88sq.cm
• Height of cylinder = 14 cm

To Find,

• Diameter of the base?

Solution,

$\green\bigstar \: \bold\green{CSA \: of \: cylinder=2πrh}$

$\implies \bold{88 = 2 \times \frac{22}{7} \times r \times 14 }$

$\implies \bold{88 = 2 \times \frac{22}{ \cancel7} \times r \times \cancel14 }$

$\implies \bold{88 = 2 \times 22 \times r \times 2}$

$\implies \bold{88 = 88 \times r}$

$\implies \bold{ \frac{88}{88} \: = \: r }$

$\implies \bold{1 \: = \: r}$

$\purple \implies \bold \purple{Radius \: = \: 1 \: cm}$

$\bold{We \: know \: that \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \bold\green{Diameter = 2 \times Radius}$

$\implies \bold{Diameter \: = \: 2 \times 1}$

$\purple\implies \bold\purple{Diameter \: = 2 \: cm}$