While playing a treasure hunt game, some clues are hidden in various spots collectively forms an AP. If the number on the nth spot is 20 + 4, then answer the following questions to help

the player in spotting the clues.

(a) Which number is on the first spot?

(a) 20 (b) 24 (c) 16 (d) 28

(b) Which number is on the ( − 2)

ℎ

spot?

(a) 16+4n (b) 24+4n (c) 12+4n (d) 28+4n

(c) Which number is on the 34th spot?

(a) 156 (b) 116 (c) 120 (d) 160

(d) What is the sum of all the numbers on the first 10 spots?

(a) 410 (b) 420 (c) 480 (d) 490

(e) Which spot is numbered as 116?

(a) 5

th (b) 8

th (c) 9

th (d) 24th​

try Quizlet it will answer u

henry ordered 5 large pizzas

step-by-step explanation:

sorry no step by step

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.