Question

The radii of two cylinders are in the ratio 5:7 and
their heights are in the ratio 3:5 the ratio of their
curved surface area is
a. 3:7 b.7:3 c.5:7 d. 3:5

Answer 1

Given:

The radii of two cylinders are in the ratio 5:7 and their heights are in the ratio 3:5

To find:

The ratio of their curved surface area

Solution:

The ratio of radii of two cylinders are 5:7

So let r₁ = 5x and r₂ = 7x

The ratio of the heights of the two cylinders are 3:5

So let h₁ = 3x and h₂ = 5x

We know,

$\boxed{\bold{CSA \:of\:a \:cylinder = 2 \pi r h }}$

Now,

The ratio of the curved surface area of the two cylinders are,

= $\frac{C.S.A._1}{C.S.A._2}$

= $\frac{2 \pi r_1 h_1}{ 2 \pi r_2 h_2}$

= $\frac{ r_1 h_1}{ r_2 h_2}$

= $\frac{5x \times 3x}{7x \times 5x}$

= $\bold{\frac{3}{7} }$

Thus, the ratio of their curved surface area is → 3:7.

-------------------------------------------------------------------------------

Also View:

The ratio between the curved surface and the total surface of a cylinder is 1:2. find the volume of the cylinder, given that its total surface area is 616 cm

brainly.in/question/2433955

The ratio of total surface area to the curved surface area of a right circular cylinder is 3 ratio 2 find the volume if it total surface area is 14784 cm square.

brainly.in/question/2875714

The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. Calculate the ratio of their curved surface areas.​

brainly.in/question/21658093

The radius of 2 cylinders is in ratio 5:7 and heights are in ratio 3:5 the ratio of there CSA is?

brainly.in/question/31907904​

Answer 2

Answer:

Step-by-step explanation:

Given:

The radii of two cylinders are in the ratio 5:7 and their heights are in the ratio 3:5

To find:

The ratio of their curved surface area

Solution:

The ratio of radii of two cylinders are 5:7

So let r₁ = 5x and r₂ = 7x

The ratio of the heights of the two cylinders are 3:5

So let h₁ = 3x and h₂ = 5x

We know,

Now,

The ratio of the curved surface area of the two cylinders are,

=  

=  

=  

=  

=  

Thus, the ratio of their curved surface area is → 3:7.