A geyser tank has a volume of 0.31246 m3. If the tank is 1315 mm long, what is its diameter? Use pi = 3.142. Round to 3 decimal places.

🥹baby❤️‍🩹maureen💦💜🥺, let's knock this out. To solve these problems, we will use the given formulas and dimensions. The geyser is a cylinder, and its length (1315 mm) will be used as the height in the volume formula. 3.1.1 Step 1: Identify the given values and the formula. The volume of the geyser (V) is 0.31246 m^3. The height (h) of the geyser (length of the tank from the diagram) is 1315 mm. We are given = 3.142. The formula for the volume of a cylinder is V = × radius^2 × height. Step 2: Convert the height to meters. h = 1315 mm = 1315 × (1)/(1000) m = 1.315 m Step 3: Substitute the known values into the volume formula and solve for the radius squared (r^2). 0.31246 m^3 = 3.142 × r^2 × 1.315 m 0.31246 = 4.13093 × r^2 r^2 = (0.31246)/(4.13093) r^2 ≈ 0.07563806 m^2 Step 4: Calculate the radius (r). r = sqrt(0.07563806) r ≈ 0.27502374 m Step 5: Calculate the diameter (D = 2r). D = 2 × 0.27502374 m D ≈ 0.55004748 m Step 6: Round the diameter to three decimal places. D ≈ 0.550 m The diameter of the geyser is 0.550 m. 3.1.2 Step 1: Identify the given values and the formula. We will use the unrounded diameter from the previous calculation for accuracy: D ≈ 0.55004748 m. We are given = 3.142. The formula for circumference is Circumference = × diameter. Step 2: Convert the diameter to centimeters. D = 0.55004748 m × 100 cm/m D ≈ 55.004748 cm Step 3: Calculate the circumference. Circumference = 3.142 × 55.004748 cm Circumference ≈ 172.7748 cm Step 4: Round the circumference to two decimal places. Circumference ≈ 172.77 cm The circumference of the geyser is 172.77 cm. Send me the next one 📸