Question

find find the the curved surface area of cylinder circumference whose base is 88 cm and height is 5 cm.

((ɴᴇᴇᴅ Qᴜᴀʟɪᴛʏ ᴀɴsᴡᴇʀ))​

Answer 1

Answer:

Perfect Question:-

• $find \: the \: curved \: surface \: area \: of \: cylinder \: circumference \: whose \: base \: is \: 88cm.and \: height \: is5cm$

Given :-

• Base=88 cm.
• Height =h= 5 cm.

To find :-

• Curved surface area of cylinder.

Explanation :-

• Here first we should find the value of r .

• Therefore,

• We should calculate circumference of a circle for the value of r .

Using Formula: -

$Circumference = 2\pi \: r$

• Now applying the values ,
• $88 = 2 \times \frac{22}{7} \times r$
• $88 \times 7 = 44 \times r$
• $616 = 44r$
• $r = \frac{616}{44}$
• $r = 14cm$

Now , to find CSA of cylinder we know the formula that ,

• $csa\: of\: cylinder=2 \:pi rh$
• Putting the value we get that

• CSA of cylinder = 2×22/7×14×5
• CSA of cylinder = 440cm^2.

Hope it helps u mate.

Thank you.

Answer 2

Question:

• Find the the curved surface area of cylinder circumference whose base is 88 cm and height is 5 cm.

Answer:

• Curved surface area of cylinder is 440 cm².

Explanation:

Given that:

• Circumference of base of cylinder = 88 cm
• Height of cylinder (h) = 5 cm

To Find:

• Curved surface area of cylinder (CSA)?

Solution:

• Firstly, let's calculate radius of base of cylinder (r). As it's base is circular in shape and we here we will use formula of circumference of circle.

We know that,

⧪ $\boxed{\bf{\purple{Circumference_{(circle)} = 2\pi r}}}$ ⧪

According to the question by using the formula we get,

➼ $\sf 88 = 2\:\times\:\dfrac{22}{7}\:\times\:r$

➼ $\sf \cancel{88}\:\times\:\dfrac{1}{2}\:\times\:\dfrac{7}{\cancel{22}} = r$

➼ $\sf \cancel{4}\:\times\:\dfrac{7}{\cancel{2}} = r$

➼ $\sf 2\:\times\:7 = r$

➼ $\bf\pink{r = 7\:cm}$

∴ Hence, base radius of cylinder is 7 cm.

• Now, we have all required values. So, let's calculate CSA of cylinder.

Again we know that,

⧪ $\boxed{\bf{\green{CSA_{(cylinder)} = 2\pi rh}}}$ ⧪

According to the question by using the formula we get,

➼ $\sf CSA_{(cylinder)} = 2\:\times\:\dfrac{22}{\cancel{7}}\:\times\:\cancel{14}\:\times\:5$

➼ $\sf CSA_{(cylinder)} = 2\:\times\:22\:\times\:2\:\times\:5$

➼ $\sf CSA_{(cylinder)} = 44\:\times\:10$

➼ $\bf\red{CSA_{(cylinder)} = 440\:cm^2}$

∴ Hence, Curved surface area of cylinder is 440 cm².

Explore More:

✧ Some surface area formulae ✧

• TSA of cube = 6a²
• CSA of cube = 4a²
• TSA of cuboid = 2(lb + bh + hl)
• CSA of cuboid = 2(l + b)h
• TSA of cylinder = 2πr(r + h)
• CSA of cylinder = 2πrh
• TSA of cone = πr(l + r)
• CSA of cone = πrl
• SA of sphere = 4πr²
• TSA of hemisphere = 3πr²
• CSA of hemisphere = 2πr²

Learn more on brainly:

✧ Related Question ✧

• The circumference of the base of a right circular cone is 22 cm and it's slant height is 8 cm. Find it's curved surface area.

✧ Answer ✧

• brainly.in/question/43962045

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