Question

Q2. The total surface area of a cylinder is 6512 sq. em and the circumference of its base is 88 cm
find the volume of the cylinder,​

Answer 1

Answer:

0

votes

answered May 31, 2019 by navnit40 (-4,939 points)

Let r be the radius and h be the height of the given cylinder.

Circumference = 2πr = 88 cm (Given)

⇒ 2 × 22/7 × r = 88 cm

⇒ r = 88 × 7/22 × 1/2

⇒ r = 14 cm

Total surface area = 2πr(h + r) = 6512 cm2 (Given)

⇒ 88(h + 14) = 6512 (∵ 2πr = 88 cm and r = 14 cm)

⇒ h + 14 = 6512/88

⇒ h + 14 = 74 ⇒ h = 60 cm

∴ Volume of the cylinder = πr2h

= 22/7 × (14)2 × 60 cm3 = 36960 cm3

Step-by-step explanation:

I HOFE IT SO HELPFUL

Answer 2

Given

Total surface area of cylinder is 6512cm²

Circumstances of its base is 88cm

To Find

volume of the Cyclinder

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Formulas used here :

Total surface area of cylinder (tsa)=2πr(r+h)

where r is the radius of the cylinder ,h is the height of the cylinder.

Volume of cylinder=πr²h

Now ,tsa of Cyclinder is 6512

=>2πr(r+h)=6512

we haven't given the radius of the Cyclinder

So, firstly find Radius .

C= 2πr

c is the circumstances and r is the radius.

=>r=c/2π

=>r=88/2×π

=>r= 14.01cm

Therefore,radius of Cyclinder is 14.01 cm

=>2πr(r+h)=6512

=>2× 3.14× 14.01(14.01+h)= 6512

=>2×43.99(14.01+h)= 6512

=>87.98(14.01+h)= 6512

=>14.01+h = 6512÷ 87.98

=>14.01+ h=74.01

=>h= 74.01-14.01

=>h=60

Therefore,height is 60cm

Now ,we have to find volume of cylinder

=>πr²h

=>3.14×(14.01)²×60

=>3.14×196.28 × 60

=>616.31×60

=>36,979.15cm³

Therefore,volume of cylinder is 36,979.15cm³