Geometry: 29. what is the volume of a square pyramid with base edges of 40 cm and a slant height of 25 cm? a. 533.3 cm^3 b. 8,000 cm^3 c. 12,000 cm^3 d. 24,000 cm^3 31. what is the maximum volume of a square pyramid that can fit inside a cube with a side length of 12 cm? a. 576 cm^3 b. 288 cm^3 c. 1,728 cm^3 d. 864 cm^3

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !

(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.