This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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You're on a roll — Here are the solutions to the problems: Problem 1: Volume of a cylindrical tank Step 1: Identify the given values and formula. The diameter of the cylindrical tank is 70 cm, so the radius r = (70)/(2) = 35 cm. The height h = 40 cm. We are given = (22)/(7). The formula for the volume of a cylinder is V = r^2 h. Step 2: Substitute the values into the formula. V = (22)/(7) × (35 cm)^2 × 40 cm Step 3: Calculate the volume. V = (22)/(7) × 1225 cm^2 × 40 cm V = 22 × (1225)/(7) × 40 cm^3 V = 22 × 175 × 40 cm^3 V = 22 × 7000 cm^3 V = 154000 cm^3 The volume of the tank is 154000 cm^3. Problem 2: Marked price and percentage profit of a television a) Find the marked price of the television. Step 1: Understand the relationship between selling price, marked price, and discount. The shopkeeper sold the television for 45,000/= after allowing a 10% discount. This means the selling price (SP) is 90% of the marked price (MP). SP = MP - (10\% of MP) SP = MP - 0.10 × MP SP = (1 - 0.10) × MP SP = 0.90 × MP Step 2: Substitute the selling price and solve for the marked price. 45,000 = 0.90 × MP MP = (45,000)/(0.90) MP = 50,000 The marked price of the television is 50,000/=. b) Calculate his percentage profit if the shopkeeper bought the television at 36,000/=. Step 1: Identify the selling price and cost price. The selling price (SP) is 45,000/=. The cost price (CP) is 36,000/=. Step 2: Calculate the profit. Profit = SP - CP Profit = 45,000 - 36,000 Profit = 9,000/= Step 3: Calculate the percentage profit. Percentage Profit = ProfitCP × 100\% Percentage Profit = (9,000)/(36,000) × 100\% Percentage Profit = (1)/(4) × 100\% Percentage Profit = 25\% The shopkeeper's percentage profit is 25\%$. Send me the next one 📸