Below is a right cone with a radius of 3 cm and a slant height of 7.6 cm. Find both the volume and surface area of the cone. Rou
nd
everything to the nearest hundredth. Use 3.14 for .
Note: The slant height is different than the actual height of the cone.
everything to the nearest hundredth. Use 3.14 for .
Note: The slant height is different than the actual height of the cone.
1 answer:
You might be interested in
Answer: The correct option is A, i.e., 7.5.
Explanation:
It is given that ABC is a triangle and BD is an altitude.
Since BD is an altitude, therefore the height of the triangle is BD and the base of the triangle is AC.
The distance formula to find the distance between two points is,
First, we find BD, where B(-1,4) and D(2,4).
So, the height of the triangle is 3.
Now, we find the value of AC, where A(2,1) and C(2,6).
So, the base of the triangle is 5.
The formula to find the area of a triangle is,
Therefore, the area of the triangle is 7.5 unit square and the correct option is A.
Answer:
a) P(0, <u>2</u>), Q(<u>4</u>, 0)
b) Please find attached the plot of the points P and Q on a chart made with MS Excel
c) Please find the graph of the line that represent the function 4·x + 2·y = 8 for values of x from -2 to 3 made with the Insert Chart feature on MS Excel
Step-by-step explanation:
The given equation for the line is 4·x + 2·y = 8
a) The coordinates of P = P(0, _)
Therefore, the point 'P', which is the point where the variable y = 0, is the point the (straight line) graph intercepts the x-axis (the x-intercept)
When y = 0 from the given equation, we get;
4·x + 2·y = 8
At the point y = 0;
4·x + 2 × 0 = 8
x = 8/4 = 2
x = 2
∴ The coordinates of P = P(0, _) = P(0, <u>2</u>)
Similarly, when x = 0, we get;
4·x + 2·y = 8
At the point x = 0;
4 × 0 + 2·y = 8
y = 8/2 = 4
y = 4
∴ The coordinates of Q = Q(_, 0) = Q(<u>4</u>, 0)
b) Rewriting the given equation in terms of 'y' gives;
y = (8 - 4·x)/2 = 4 - 2·x
y = 4 - 2·x
With the help of MS Excel, the points P and Q are plotted in the attached graph
c) The line of the graph of the function 4·x + 2·y = 8 for values of x from -2 to 3 can be added by Changing the Chart Type to 'Scatter with Smooth Lines and Markers' within MS Excel as presented in the included graph of the line.
