Ineed with questions right

1.which of the following equations will yield the surface area of a cylinder?

a. sa = 2lw + 2lh + 2wh

b. sa = 2rh + 2r2

c. sa = 2b + ph

d. sa = r2h

2. the radius of a cylinder is measured in meters. what unit will the surface area be measured in?

a. meters

b. cubic meters

c. kilometers

d. square meters

3. the dimensions of a pentagonal prism are quadrupled. how will the changes to the prism’s dimensions affect the surface area of the prism?

a. increase by a factor of 4

b. increase by a factor of 16

c. increase by a factor of 64

d. surface area will remain the same

4. a cylinder has a circular base with a diameter that measures 9 inches. determine the radius of the base of the cylinder.

a. 3 inches

b. 4.5 inches

c. 18 inches

d. 81 inches

5. a cylinder has a diameter of 5 centimeters and a height of 50 millimeters. which of the following steps should be done first in order to find the surface area of the cylinder?

a. convert the diameter and the height to the same unit

b. determine the radius and multiply by 2π

c. calculate the circumference of the circle

d. multiply the circumference of the circle by the height of the cylinder

6. in order to find the number of gallons of paint needed to paint the exterior surface of a barrel, which of the following should be determined?

a. the volume of the barrel
b. the height of the barrel
c. the surface area of the barrel
d. the perimeter of the barrel

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.