Find the volume of the cylinder
What is the exact volume in terms of π
What is the approximate volume using 3.14 for π
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The volume of the cylinder in terms of π is 18,095.5736 square yards,

the volume of the cylinder by using π equals 3.14 is 18.086.4 square yards.

Step-by-step explanation:

Step 1; The volume of any cylinder is given by π times the product of the square of the radius (r²) and the height (h). The given cylinder has a radius of 12 yards and a height of 40 yards.

The volume of any cylinder = π × r² × h.

Step 2; The value of π equals 3.14159263588. So substituting this value in the equation to calculate the volume we get

The volume of the given cylinder = 3.14159263588 × 12² × 40 = 18,095.5736 square yards.

Step 3; If we substitute the value of π as 3.14 in the equation to calculate the volume, we get

The volume of the given cylinder = 3.14 × 12² × 40 = 18.086.4 square yards.

x-150=475   x=625

step-by-step explanation:

if the bike after the sale ($150) is $475 then just simply add 150 to 475.

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.