Answer:
The volume of the sphere is 
Step-by-step explanation:
we know that
The volume of cylinder is equal to
we have
substitute
simplify
Remember that
A sphere and a cylinder have the same radius and height
so
The height of cylinder is equal to the diameter of sphere
h=2r
substitute
-----> equation A
The volume of the sphere is equal to
substitute equation A in the formula of the volume of sphere
Consider this solution.
If it is possible, check it in the other sources.
length = 4 yards and width = 3.5 yards
let width be w then length is 2w - 3
area = w(2w - 3) = 14 (rearrange in standard form )
2w² - 3w - 14 = 0 ← in standard form
(2w - 7 )(w + 2 ) = 0 ← in factored form
equate each factor to zero and solve for w
2w - 7 = 0 ⇒ w = 3.5
w + 2 = 0 ⇒ w = - 2
but w > 0, hence w = 3.5
width = 3.5 yards and length = (2 × 3.5 ) - 3 = 4 yards
Answer:
Step-by-step explanation:
Use the cosine rule and see if the numbers hold true. a^2 = b^2 + c^2 - (2bc (cos x))
By substituting in our values I get that cos x = 0.838... which is possible. If cos x would equal 1.5, the there is no solution and the triangle would not be possible.
I think its D. 32.6 s/ft and appoximatley 0.03 ft/s
