This is the concept of volume of solid materials, we are required to find the diameter of cone with height 8 and volume 150 m^3.
volume of cone is given by;V=1/3 (pi*r^2*h)
making r^2 the subject we get;
V/(pi*h)=r^2
inserting the values in our formula we get:
150/(pi*8)=r^2
r^2=5.97
thus;
r=sqrt(5.97)=2.44
But ;
diameter=2*radius
thus
diameter=2.44*2
=4.88 m
The value of f(r - 2) is 6r - 5
<h3>What is a function?</h3>
Function can be defined as an expression, rule, or law that defines a relationship between one variable known as the independent variable and another called the dependent variable.
From the information given ,we have;
f(x)= 6x+7, with f ( r - 2)
From here, we have that x = r -2
Now, let's substitute x as r - 2 in the function given;
f(x) = 6x + 7
f(r - 2) = 6 ( r - 2) + 7
Expand the bracket
f(r - 2) = 6r - 12 + 7
collect like terms
f(r - 2) = 6r - 5
Thus, the value of f(r - 2) is 6r - 5
Learn more about functions here:
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If two angles are equal then the other angles will also be equal
Answer:
B. First term = 5, Common difference = -3
Step-by-step explanation:
The first term is f(1) = 8 - 3(1) = 8 - 3 = 5.
The common difference is the coefficient of n. Another way to see this is to compute the second term, f(2) = 8 - 3(2) = 8 - 6 = 2. The second term is 3 less than the first. The common difference is -3.
The sequence goes 5, 2, -1, -4, ...
