Question

The radius and height of a cylinder are in the ratio 7:2 if the volume of the cylinder is 8316cm³ , find the total surface area of the cylinder​

Answer 1

$\large\underline\pink{Given:-}$

• The radius and height of a cylinder are in the ratio 7:2
• The volume of the cylinder is 8316cm³.

$\large\underline\pink{To find:-}$

• find the total surface area of the cylinder ....?

$\large\underline\pink{Solutions:-}$

we have,

Radius/Height = 7/2

r = 7h/2

Now,

Volume of the cylinder = πr²h

π(7h/2)² × h = 8316cm³

22/7 × 7/2 × 7/2 × h³ = 8316

h³ = 8316/11 × 2/7

h³= 108 × 2

h³ = 216

h = 6cm

Then,

r =. 7h/2

r = 7/2 × 6

r = 7 × 3

r = 21cm

Hence, the ratio total surface area of a cylinder is 21cm.

$\large\underline\pink{More \: Information:-}$

• Volume of cylinder ( Area of base × height ). = (πr²) × h

= πr²h

• Curved surface = ( Perimeter of base ) × height.

= (2πr) × h

= 2πrh

• Total surface are = Area of circular ends + curved surface area.

= 2πr² + 2πrh

= 2πr(r + h)

• Where, r = radius of the circular base of the cylinder.

h = height of cylinder.

Answer 2

Answer:

⭐ Question ⭐

✏ The radius and height of a cylinder are in the ratio 7:2 if the volume of the cylinder is 8316cm³ , find the total surface area of the cylinder.

⭐ To Find ⭐

✏ Find the total surface area of the cylinder.

⭐ Solution ⭐

✏ We have,

▶Radius/Height = 7/2

▶r = 7h/2

Now,

✍Volume of the cylinder = πr²h

=> π(7h/2)² × h = 8316cm³

=> 22/7 × 7/2 × 7/2 × h³ = 8316

=> h³ = 8316/11 × 2/7

=> h³= 108 × 2

=>h³ = 216

=> h = 6cm

➡Then,

=> r =. 7h/2

=> r = 7/2 × 6

=> r = 7 × 3

=> r = 21cm

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▶ Hence, the ratio total surface area of a cylinder is 21cm.

Step-by-step explanation:

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