Question

The curved surface area of cylinder is 1056cm^2 and its volume is 3696 cm^3 . the height of cylinder is same as the height of cone of volumev392πcm^3. What is the radius of cone?
pls solve this question fast

Answer 1

Here is the answer to your question.

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

It is given that CSA and volume of the cylinder are respectively 1056 sq cm and is 3696 cu cm.

It is known that for a cylinder, CSA = 2πrh, volume = πr2h

∴ 2πrh = 1056 cm2  … (1)

πr2h = 3696 cm3   … (2)

Answer 2

The radius of cone is 7 cm

Step-by-step explanation:

Volume of cylinder =$\pi r^2 h$

We are given that its volume is$3696 cm^3$

Curved surface area of cylinder = $2 \pi r h$

We are given that The curved surface area of cylinder is $1056cm^2$

So, $2 \pi r h = 1056\\\pi r h = \frac{1056}{2}\\\pi r h = 528$

Volume of cylinder =$\pi r^2 h =3696$

So, 528r  = 3696

$r = \frac{3696}{528}$

r=7

$\pi r h = 528 \\\frac{22}{7} \times 7 h= 528\\h = \frac{528}{22}$

h =24 cm

The height of cylinder is same as the height of cone

Volume of cone =$\frac{1}{3} \pi r^2 h = \frac{1}{3} \times \frac{22}{7} \times r^2 \times 24$

So,$\frac{1}{3} \times \frac{22}{7} \times r^2 \times 24 = 392 \pi$

$\frac{1}{3} \times r^2 \times 24 = 392$

$r=\sqrt{\frac{392 \times 3}{24}}$

r=7

Hence The radius of cone is 7 cm

#Learn more:

For a cone, total surface area and curved surface area are 3696 cm^2 and 2310 cm^2 respectovely . find the ratio of it's radius and slant height.​

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