A cylindrical drinking glass can hold 56.52 cubic inches of
water. The diameter of the glass is 3 in. How tall is the glass?
Use 3.14 for T.
A. 4 inches
B. 6 inches
CC. 7 inches
D. 8 inches

The answer is

D. 8 inches

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder this time.

Given data

Volume of cylindrical shape v=

56.52 inch³

Diameter of cylindrical glass d= 3

inch

But raduis r =diameter/2=3/2= 1.5

inch

We know that the the expression for the volume of a cylinder is given as

v= πr²h

Substituting our given data to solve for the height h

56.52= 3.14*(1.5)²*h

56.52= 7.065h

h= 56.52/7.065

h= 8 inches

answer:   y=2x-3

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true