A cylinder has a cross-section circumference of 56cm. The height of the cylinder is 3.2cm. Calculate the volume and surface area of the cylinder.

volume = 798.58 cm³ (nearest hundredth)

surface area = 678.31 cm³ (nearest hundredth)

Step-by-step explanation:

Volume of a cylinder:  

Surface area of a cylinder:  

Circumference:  

(where r is the radius and h is the height)

Given circumference = 56

⇒

⇒

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5