Question

The C.A.S of cylinder is 449cm² and the perimeter of its base is 8cm.find the hight of the cylinder​

Answer 1

Answer:

Analysis→

Here we're given a cylinder, whose curved surface area(CSA) is 499cm² and the perimeter of its base is 8cm. And we've to find the height of the cylinder. And we know that CSA of cylinder =2πrh and circumference(perimeter) = 2πr.

Where:-

$\mapsto$ r=radius of base.

$\mapsto$ h= height of cylinder.

Given→

• CSA of cylinder =449cm²
• Circumference of base=8cm(2πr)

To Find→

Height of the cylinder.

Answer→

$\large{\underline{\boxed{\leadsto{\rm{CSA\:of\:cylinder=2πrh}}}}}$

$\rm\rightarrow{CSA=2πrh}$

$\rm\rightarrow{CSA=(2πr)h}$

$\rm\rightarrow{449cm^2=(8cm)h}$

$\rm\rightarrow{h=\dfrac{449cm^2}{8cm}}$

$\rm\rightarrow{h=56.125cm}$

${\boxed{\boxed{\rightarrow{\rm{h=56.125cm✔}}}}}$

☞ Hence the height of the cylinder is 56.125cm which is the required answer.

HOPE IT HELPS.

Answer 2

• Given

• The curved surface area of cylinder = 449 cm²
• Perimeter of its base = 8 cm

• To find

• Height of the cylinder

• Solution

Circumference of base = 2πr

⇒ 8 = 2 × 22/7 × r

⇒ 8 = 44/7 × r

⇒ (8 × 7)/44 = r

⇒ 56/44 = r

⇒ 1.27 cm

• Radius = 1.27 cm

Curved surface area of cylinder = 2πrh

⇒ 449 = 2 × 22/7 × 1.27 × h

⇒ 449 = 55.88/7 × h

⇒ (449 × 7)/55.88 = h

⇒ 56.24 cm

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Know MorE -

Some formulae -

• Volume of cylinder = πr²h
• Total surface area of cylinder = 2πrh + 2πr²
• Total surface area of cone = πrl + πr²h
• Curved surface area of cone = πrl
• Volume of cone = 1/3 πr²h