Volume of a cylinder = πr²h. If height is doubled, volume becomes 2πr²h, which is double the original volume.

The area of a triangle is given by (1/2) * base * height = (1/2) * 10 * 12 = 60 cm².

A3 in hexadecimal is calculated as 10*16^1 + 3*16^0 = 160 + 3 = 163.

Magnification (m) = v/u = 1 when image distance equals object distance.

Using the lens formula 1/f = 1/v - 1/u, we have 1/f = 1/40 - 1/(-30) = 1/40 + 1/30. Solving gives f = 20 cm.

Expected new cases = (Incidence rate × Population) / 1000 = (3 × 50000) / 1000 = 150.

Xl = 2πfL = 2π × 60 × 0.5 = 31.42 ohms.

Inductive reactance X_L = 2πfL = 2π(50)(2) = 628 Ω.

Inductive reactance (X_L) is given by X_L = 2πfL. If the inductance (L) is doubled, X_L will also double.

Total impedance Z = √(R² + (XL)²) = √(10² + 30²) = √(100 + 900) = √1000 = 31.62Ω.

Cost after 2% inflation = 100 * 1.02 = $102; Cost after 4% inflation = 100 * 1.04 = $104; Difference = $104 - $102 = $2.

Future cost = Current cost * (1 + inflation rate) = 100 * (1 + 0.03) = $103

Cost after one year = Original cost * (1 + Inflation rate) = 100 * (1 + 0.03) = $103

Cost after inflation = 300 * (1 + 0.04) = 300 * 1.04 = $312.

Price after one year = Current Price * (1 + Inflation Rate) = 200 * (1 + 0.05) = 200 * 1.05 = $210.

With a 5% inflation rate, a $100 product will cost $100 + ($100 * 0.05) = $105 after one year.

Cost after inflation = 500 * (1 + 0.06) = 500 * 1.06 = $530.

At destructive interference, the intensity is zero because the waves cancel each other out.

Doubling the intensity of light increases the number of photons incident on the surface, which in turn increases the number of emitted electrons, assuming the frequency is above the threshold frequency.

Doubling the intensity of light increases the number of photons incident on the surface, which in turn increases the number of emitted electrons, assuming the frequency is above the threshold frequency.

Doubling the intensity of light doubles the number of photons, thus doubling the number of photoelectrons emitted.

Interest = Principal * Rate = 1000 * 0.04 = $40.

If the internal resistance of a cell is negligible, it increases the accuracy of the potentiometer measurement as it does not affect the voltage being measured.

The potential gradient is calculated as V/L = 12 V / 6 m = 2 V/m.

Heat required = mass × latent heat = 50 g × 334 J/g = 16700 J.

Energy required = mass * latent heat = 0.5 kg * 2260 kJ/kg = 1130 kJ.

The maximum product occurs when the numbers are 2, 10, and 6, giving a product of 120.

The maximum product of the three numbers can be calculated as (LCM * HCF^2) = 180 * 3^2 = 5400.

The product of the three numbers is equal to LCM * HCF^2. Therefore, 180 * 3^2 = 180 * 9 = 1620.

The product of two numbers is equal to the product of their LCM and HCF. Therefore, 120 * 10 = 1200.