The circumference of the base of a cylinder is 24π mm. A similar cylinder has a base with circumference of 60π mm. The lateral area of the larger cylinder is 210π mm2.

What is the lateral area of the smaller cylinder?
The Answer is 33.6π mm2

Lateral area of the smaller cylinder = 33.6 π mm²

Step-by-step explanation:

Circumference of the base of a cylinder is 24π mm . A similar cylinder has a base with circumference of 60π mm. Since we are dealing with the circumference of two similar cylinder we need to know the scale factor.

The square factor can be expressed as follow

Scale factor is the ratio between the larger circumference of the larger cylinder to the  circumference of the smaller cylinder.

Scale factor = 60π/24π  = 2.5

The lateral area of the larger cylinder = 210π mm².

The scale factor  squared is equal to the ratio of the larger cylinder surface area to the smaller cylinder  surface area.

Therefore,

2.5² = 210π/a

where

a = surface area of the smaller cylinder

cross multiply

6.25 a = 210π

divide both sides by 6.25

a = 210π/6.25

a = 33.6 π mm²

Lateral area of the smaller cylinder = 33.6 π mm²

a) false; the points do not have to be in a straight line.

step-by-step explanation:

the points could be in the shape of a triangle

b is incorrect

c is incorrect because it is saying the immediately don't form one when they are capable of doing so

d is incorrect

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.