Answer:
The volume of the pyramid is not equal to the volume of the cylinder.
Step-by-step explanation:
A right cylinder has the circular cross-sectional area and if the cross-sectional areas of a right pyramid and a right cylinder are the same then the pyramid must be a right circular cone.
Now, the volume of a right cylinder is πr²h and that of a right circular cone is 1/3 πr²h.
Therefore, the radius of the base of the cone and that of the cylinder is the same and their heights are equal to be 5 units, then the volume of the pyramid is not equal to the volume of the cylinder. (Answer)
Answer:
r≈4.75
Step-by-step explanation:
Answer:
Option B
Step-by-step explanation:
Complex roots occur as conjugate pairs so the third root is -3 - i ( note that the sign changes from + to -).
So in factor form we have:-
(x - 2)(x - (-3 + i))(x - (-3 - i)) = 0 Let's expand the last 2 factors first:-
(x - (-3 + i))(x - (-3 - i))
= (x + 3 - i)(x + 3 + i)
= x^2 + 3x +ix + 3x + 9 + 3i - ix - 3i - i^2
= x^2 + 6x + 9 - (-1)
= x^2 + 6x + 10
Now multiplying by (x - 2):-
(x - 2)(x^2 + 6x + 10) = 0
x^3 + 6x^2 + 10x - 2x^2 - 12x - 20 = 0
x^3 + 4x^2 - 2x - 20 = 0 (answer)
Option B
