Question

the radius and height of a cylinder are in the ratio 5:7 and its curved surface area is 5500 sq.cm . find its radius and height ​

Answer 1

Answer:

1000

Step-by-step explanation:

5500= 22/7*5x*5x*7x

5500=22/7*x cube*(5*5*7)

x cube= 5500*7/22*5*5*7

x cube=10

x 10 cube

1000

Answer 2

Aɴꜱᴡᴇʀ

$\huge \sf{}r = 35 \: units \\ \huge \sf{}h = 25 \: units$

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Gɪᴠᴇɴ

Ratio of height & radius = 5 : 7

CSA if cylinder = 5500 unit²

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ᴛᴏ ꜰɪɴᴅ

Radius & height = ?

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Sᴛᴇᴘꜱ

As ratio of height & radius is 5 : 7

So,let the height & radius be 5y & 7y unit.

We know formula:-

Csa of cylinder=2πrh

Putting values:-

⇒ 5500 = 2 × 22/7 × 5y × 7y

⇒ 5500 = 44/7 × 35y²

⇒ 35y² = 5500 × 7/44

⇒ 35y² = 125 × 7

⇒ 35y² = 875

⇒ y² = 875/35

⇒ y² = 25

⇒ y = √25

⇒ y = 5 unit.

★ Height & Radius:-

⇒ Height = 5y

⇒ Height = 5(5)

⇒ Height (h) = 25 unit.

⇒ Radius = 7y

⇒ Radius = 7(5)

⇒ Radius (r) = 35 unit.

Therefore,

Radius & Height of cylinder are 35 unit & 25 unit respectively.

More formulas:-

• Volume of cylinder = πr²h

• TSA of cylinder = 2πr(r + h)

• Volume of hemisphere = ⅔ πr³

• CSA of hemisphere = 2πr²

• TSA of hemisphere = 3πr²

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$\huge{\mathfrak{\purple{hope\; it \;helps}}}$