Will mark 50 ! 0.4÷0.01=40 choose all of the statements that explain how the quotient relates to the dividend. answer choicesa. it takes 10 hundredths to make 0.1, so it will take 4 times 10 hundredths to make 0.4. 4×10=40 b. the 4 in 40 is 2 places to the right of the 4 in 0.4, which increases the value of the number 100 times. c. one hundredth goes into 1 tenth 10 times. so 0.01 goes into 4 tenths 40 times. d. 4 tenths are the same as 40 hundredths. 0.4=0.40 5. 0.40÷0.01 tells how many 1 hundredths are in 40 hundredths. this is the same as 40÷1, which is 40.

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.

christopher is 272,195 year old

step-by-step explanation: