Volume = (1/3)πr²h = (1/3)π(2)²(6) = 8π/3 ≈ 25.13 cm³.

Volume = π * r² * h = π * 3² * 7 = 63π cm³.

Volume = (1/3)πh(R² + Rr + r²) = (1/3)π(4)(5² + 5*3 + 3²) = (1/3)π(4)(25 + 15 + 9) = (1/3)π(4)(49) ≈ 40.84 cm³.

Volume = (2/3)πr³ = (2/3)π(7)³ = (686/3)π ≈ 143.67 cm³.

Volume = l × w × h = 3 × 4 × 5 = 60 cm³.

Q4 sales were 150 units out of total 600 units, which is 25%.

Product D represents 40% of total sales as shown in the pie chart.

Total sales in Q4 = 100 + 150 + 200 + 50 = 500. Product D sales = 150. Percentage = (150/500) * 100 = 30%.

The average monthly sales is calculated as total sales (600 units) divided by 6 months, which equals 100 units.

Sales increased from 100 units in Q1 to 120 units in Q2, which is a 20% increase.

Sales grew from 100 units in Q1 to 130 units in Q4, which is a 30% growth.

The total sales for the year is the sum of all quarters: 100 + 120 + 150 + 130 = 500 units.

CI = P(1 + r/100)^n - P = 2000(1 + 0.06)^3 - 2000 = 2000(1.191016) - 2000 = 2382.032 - 2000 = $382.032.

January had the lowest sales with 80 units sold.

All numbers except 30 are perfect squares.

This is the Fibonacci sequence where the next number is the sum of the previous two: 5 + 8 = 13.

x^2 + 1 = 0 leads to x^2 = -1, which has no real solutions.

5 divides 30 evenly, so it is a factor.

6 is a factor of 36 since 36 ÷ 6 = 6.

11 has no divisors other than 1 and itself.

Factoring gives (x - 2)(x - 3) = 0, so x = 2 or x = 3.

Solving for x gives 2x = 8, so x = 4.

The equation factors to (x - 2)(x + 2) = 0, giving solutions x = -2 and x = 2.

Factoring gives (x-2)(x-3)=0, so x=2 or x=3.

If n = 2k, then n^2 = (2k)^2 = 4k^2, which is even.

8 is an even integer as it is divisible by 2.

5^(2/3) = (5^(1/3))^2 = 5√(5).

Using the power of a power property, (x^(1/2))^4 = x^(1/2 * 4) = x^(2).

Using the property a^m * a^n = a^(m+n), we have 2^(3+2) = 2^(5).

2^(3/2) = √(2^3) = √8.