<u>Given</u>:
Given that the radius of the cone is 3 units.
The volume of the cone is 57 cubic units.
We need to determine the height of the cone.
<u>Height of the cone:</u>
The height of the cone can be determined using the formula,
Substituting the values, r = 3 and V = 57, we get;
Simplifying the terms, we get;
Multiplying both sides of the equation by 3, we get;
Dividing both sides of the equation by 28.26, we get;
Thus, the height of the cone is 6.05 units.
Answer:
2.7 radians
have a nice day :)
Step-by-step explanation:
Answer:1/2
Step-by-step explanation:
Answer:
the answer is y= 2/1x + 10
The volume of a cuboid is given by length × width × height
We have:
Volume = 7.6 ft³
Height = 3x - 1
Length = x + 5
Width = x
Substituting these into the formula, we have:
7.6 = (3x - 1) (x + 5) (x)
7.6 = [3x² + 15x - x - 5] (x)
7.6 = [3x² + 14x - 5](x)
7.6 = 3x³ + 14x² - 5x
0 = 3x³ + 14x² - 5x - 7.6
Drawing the graph is one way of finding the solution (refer to the graph below):
We have three solutions (where the curve crosses the x-axis):
x = -4.9
x = -0.6
x = 0.8
Putting these solutions back into the context, since we are looking for the value of x which is part of measurement of length, we cannot have negative value, so we will take the value of x = 0.8 ft
Converting 0.8 ft into inches = 0.8 × 12 inches = 9.6 inches
Answer: x = 9.6 inches
