# The prism has a cross-sectional area in the shape of a sector. Calculate: a. the radius rr cm, b. the cross-sectional area of the prism, c. the total surface area of the prism, d. the volume of the prism

Question
The prism has a cross-sectional area in the shape of a sector. Calculate: a. the radius rr cm,
b. the cross-sectional area of the prism,
c. the total surface area of the prism,
d. the volume of the prism

2020-12-25
a. To find r, we need to use the given arc length of 20 cm and the angle of 50∘ that creates the arc. The arc length, s, of a circle is given by the formula $$\displaystyle{s}=θ{360}∘{\left({2}π{r}\right)}$$ where θ is the angle that creates the arc and r is the radius of the circle. We know the arc length is s=20 cm and the angle is θ=50∘. Therefore:
$$\displaystyle{s}={\left( ### Relevant Questions asked 2020-11-08 The shaded sector above covers \(\displaystyle\frac{{1}}{{2}}$$ of the circle. If the radius of the circle above is 3 cm, what is the area of the sector in terms of ππ. A. $$\displaystyle{1.125}π{c}{m}^{{2}}$$
B. $$\displaystyle{14.13}π{c}{m}^{{2}}$$
C. $$\displaystyle{4.5}π{c}{m}^{{2}}$$
D. $$\displaystyle{2.25}π{c}{m}^{{2}}$$
Which of the following are equivalence relations?
a. Is similar to for the set T of all triangles in a plane.
b. Has the same radius as for the set of all circles in a plane.
c. Is the square of for the set N.
d. Has the same number of vertices as for the set of all polygons in a $$\displaystyle{e}.\text{⊆}$$ for the set of sets S={A,B,C...}
f. "<" for the set R.
The drawing shows a uniform electric field that points in the negative y direction; the magnitude of the field is 5300 N/C.Determine the electric potential difference (a) VB - VA between points A and B, (b) VC - VB between points B and C, and (c) VA - VB between points C and A.
A-C is 10.0cm, b-c is 8.0 cm, a-b is 6.0 cm. They are all in a right triangle shape. With angle b having the 90 degree angle, and electric potential is pointing down. This is problem 56 in 7th edition.
A garden in the shape of a regular hexagon has sides that are each 5 meters long. If the height of each of the congruent triangles within the hexagon is about 4.33 meters, what is the area of the garden?
The following are the dimensions of a few rectangles. Find the are of the two right triangles that are cut from the rectangles using the formmula of the area of a triangle.
A. Lenght= 13.5 m, Breadth=10.5 m
Two circular coils are situated perpendicular to the z axis as shown below. There is a current in the primary coil. All of the following procedures will induce a current in the secondary

a) rotating the secondary coil about the z axis
b) rotating the second coil about a diameter
c) moving the secondary coil closer to the primary coil
d) decreasing the cross-sectional area of the secondary coil
A cylinder has a surface area of 748 cm² and a radius of 7 cm. Estimate the volume of the cylinder to the nearest whole number.
Expanding isosceles triangle The legs of an isosceles right tri- angle increase in length at a rate of 2 m/s.
a. At what rate is the area of the triangle changing when the legs are 2 m long?
b. At what rate is the area of the triangle changing when the hypot- enuse is 1 m long?
c. At what rate is the length of the hypotenuse changing?