Answer: First option is correct.
Explanation:
Since we have given that
Radius = 11 inches
Height = 14 inches
Now, according to question, we have mentioned that all the dimensions of the cylinder is to be quadrupled i.e. four times.
Then,
Radius is given by
Height is given by
As we know the formula for " Volume of cylinder ":
Hence, our volume of new similar cylinder is 340426.24 cubic in.
Therefore, First option is correct.
Answer:
r(t) and s(t) are parallel.
Step-by-step explanation:
Given that :
the lines represented by the vector equations are:
r(t)=⟨1−t,3+2t,−3t⟩
s(t)=⟨2t,−3−4t,3+6t⟩
The objective is to determine if the following lines represented by the vector equations below intersect, are parallel, are skew, or are identical.
NOTE:
Two lines will be parallel if
here;
Thus;
∴
Hence, we can conclude that r(t) and s(t) are parallel.
Answer:
Width of the archway at its base: 11 units, height of the archway at its highest point: 30.25 units.
Step-by-step explanation:
The graph that represents the equation is now sketched with the help of a graphing tool and whose representation is included in a file attached below. The point associated with x-intercepts are (-3, 0) and (8, 0) and the point associated with the highest point is (2.5, 30.25). The width of the archway at its base (
) and the height of the archway at its highest point (
) are, respectively:
Width of the archway at its base: 11 units, height of the archway at its highest point: 30.25 units.
