Nancy walked 50 minutes each day for 4 days last week. gillian walked 35 minutes for 6 days last week. which statement is true?
a. gillian walked 10 minutes more than nancy.
b. gillian walked 20 minutes more than nancy.
c. nancy walked 10 minutes more than gillian.
d. nancy walked 15 minutes more than gillian.

-A. Gillian walked 10 minutes more than Nancy.

Explanation:-

Nancy walked 50 minutes each day for 4 days last week.

Total time she walked= 50×4=200 minutes

Gillian walked 35 minutes for 6 days last week.

Total time he walked=35×6=210 minutes

We can see 210>200

Difference in time=210-200=10 minutes.

Thus, Gillian walked 10 minutes more than Nancy.

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.