The gravitational force formula is f= gm1m2 / r^2, where f is the force between two objects, g is the constant of gravitation, m1 is the mass of the first object. m2 is the mass of the second object, and r is the distance between the objects. by rewriting the formula as r= √gm1m2/f, you can find the distance between objects. which of the following gives the distance, r, in simplest form? a.) r=√gm1m2 / f b.) r=√gm1m2f / f c.) r=√gm1m2f

The most reasonable answer would be B.

PLEASE GIVE ME THE BRAINLIEST I TRIED REALLY HARD ON THIS QUESITON!

B)

Step-by-step explanation:

Newton's law of universal gravitation can be represented through the following expression.

where,

F is the force between two objects

G is the constant of gravitation

m₁ is the mass of the first object

m₂ is the mass of the second object

r is the distance between the objects

We can solve this equation for "r".

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

answer: no

step-by-step explanation: because the big angle will spread away the 2 side that it is on and make the opposite side even longer.