How are prisms and pyramids alike and how are they different?
2 answers:
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Answer:
900 cubic inches.
Step-by-step explanation:
<u>Given the following data </u>
Volume of right circular cone = 300in³
We know that the volume of a right circular cone is given by the formula;
Where;
- V is the volume of right circular cone.
- r is the radius of the base of the right circular cone.
- h is the height of the right circular cone.
The volume of a right circular cylinder is given by the formula;
Thus, multiplying the volume of the right circular cone by 3 would give us the volume of the right circular cylinder.
<em>Substituting into the equation, we have;</em>
V = 300 * 3
V = 900in³
<em>Therefore, the volume of a right cylinder that has the same base and height as the cone is 900 cubic inches.</em>
Remark
This question likely should be done before the other one. What you are trying to do is give C a value. So you need to remember that C is always part of an indefinite integral.
y =
y = sin(x) - cos(x) + C
y(π) = sin(π) - cos(π) + C = 0
y(π) = 0 -(-1) + C = 0
y(π) = 1 + C = 0
C = - 1
y = sin(x) - cos(x) - 1 <<<<< Answer
Problem Two
Remember that
y( - e^3 ) = ln(|x|) + C = 0
y(-e^3) = ln(|-e^3|) + C = 0
y(-e^3) = 3 + C = 0
3 + C = 0
C = - 3
y = ln(|x|) - 3 <<<< Answer
This question likely should be done before the other one. What you are trying to do is give C a value. So you need to remember that C is always part of an indefinite integral.
y =
y = sin(x) - cos(x) + C
y(π) = sin(π) - cos(π) + C = 0
y(π) = 0 -(-1) + C = 0
y(π) = 1 + C = 0
C = - 1
y = sin(x) - cos(x) - 1 <<<<< Answer
Problem Two
Remember that
y( - e^3 ) = ln(|x|) + C = 0
y(-e^3) = ln(|-e^3|) + C = 0
y(-e^3) = 3 + C = 0
3 + C = 0
C = - 3
y = ln(|x|) - 3 <<<< Answer