Here are the answer: a) R = 3.6 and b) A = 2
Step-by-step explanation:
Given,
R is inversely proportional to A.
R ∝
so, R = -------eq 1 where k is any constant
To find the values of a) R when A = 5 and
b) Value of A when R = 9
Now,
Putting R = 12 and A = 1.5 in eq 1 we get,
12 =
or, k = 12×1.5 = 18
From eq 1 we get,
R = --------- eq 2
Now,
a) Putting A= 5 in eq 2 we get,
R = = 3.6
b) Putting R = 9 in eq 2 we get
R =
or, A = = 2
Answer:
The volume of the figure is 905 cubic units.
Step-by-step explanation:
Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.
volume of a sphere =
where r is the radius of the sphere.
Given that AB = 6, then the radius of the sphere = 6
volume of sphere = x
x
= x 216
= 905.14
volume of sphere = 905 cubic units
The volume of the figure is 905 cubic units.