Step-by-step explanation:
a) here,
diametre = 19 cm
Area = ?
Now,
Area = pie d
= 22/7 *19
59.71 cm2
Therefore, area = 59.71 sq.cm.
b)
here,
Area = 1000 sq.cm
diametre = ?
Now ,
Area = pie d
1000 = 22/7 *d
7000 = 22 * d ( cross multiply between 7&1000)
7000/22 = d
318.18 = d
Therefore, diametre = 318.18 cm .
Answer:
The volume of a right circular cylinder with a base diameter of 17.5 ft and a height of 24.5 ft is:
5889.95 ft³
Step-by-step explanation:
We are given a base diameter of a right circular cylinder as :
d = 17.5 ft.
hence radius of cylinder i.e. r =d/2 = 8.75 ft.
height of the cylinder = 24.5 ft.
now we know that volume of cylinder i.e. V is given by :
V = πr²h
putting the value of r and h in the given formula to obtain the volume
V = 3.14×(8.75)²×24.5
= 5889.95 ft³
hence, the volume of a right circular cylinder with a base diameter of 17.5 ft and a height of 24.5 ft is:
5889.95 ft³
Using the continuity concept, since the lateral limits and the numeric value of the function are equal at the point in which the definition changes, the function is continuous.
<h3>What is the continuity concept?</h3>
A function f(x) is continuous at x = a if it is defined at x = a, and:
The definition of the piecewise function is given by:
Since the definition of the function changes at x = 2, and the domain of the function has no restrictions, this is the only point in which there may be a discontinuity.
The lateral limits are:
.
.
The numeric value is:
f(2) = 1.5 x 2 = 3.
Since the lateral limits and the numeric value of the function are equal at the point in which the definition changes, the function is continuous.
More can be learned about the continuity concept at brainly.com/question/24637240
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In this item, we are not given with the choices for the ordered pair which could be the solution to the given equation. What can be done is to assume a value for one of the variables and solve for the other. To be able to find one that satisfies let x be equal to zero and substitute to the given equation.
-3(0) - 7y = 37
Simplifying,
-0 - 7y = 37
The value of y from the equation is 37/7. Thus, one of the ordered pairs that satisfies the equation is,
(0, 37/7)
