Q1. Find the volume of the solid that is obtained when the region enclosed by the y=4 is revolved about the x-axis.

Question 6: Suppose you have a coffee mug with a circular cross-section and vertical sides. What is its inside radius in cm if it holds 375 g of coffee when filled to a depth of 7.5 cm? Density of coffee is 1000 kg/m³. Unit conversion: 1 kg = 1000 g; 1 m = 100 cm.

To verify her suspicion that a rock specimen is hollow, a geologist weighs the specimen in air and in water. She finds that the specimen weighs twice as much in air as it does in water. The density of the solid part of the specimen is 3.96 × 10³ kg/m³. What fraction of the specimen's apparent volume is solid? Number i Units

You have three objects of varying shapes and sizes: Object 1 is a rectangular block of tin. Object 2 is a cube of aluminum. Object 3 is a sphere of copper. a. the density of tin is 5.75g/cm2. What is the mass of object 1 in kg if the rectangular block has a volume of 1.34L? b. what is the volume in cubic inches of object 2 if the cube of aluminum 7.58 inches on a side? c. what is the mass in kg of object 2? the density of aluminum is 2.70g/cm3 d. what is the volume in cm3 of object 3 if the sphere of copper has a diameter 8.62cm? the volume of the sphere is 4 {pi}^3/3 e. what is the mass in kg of object 3? Copper has a density of 8.96g/cm3

An airplane passenger has a volume V1 of air in his stomach just before the plane takes off from a sea-level airport. a. What volume will this quantity of air have at cruising altitude at the same temperature (body temperature), in terms of V1, the pressure on the ground P1, and the cabin pressure at cruising altitude P2?  b. What is this volume, in cubic centimeters, if the initial volume is 95 cm3 and the cabin pressure drops to 7.50 × 104 Pa when the plane is at cruising altitude?

A cylindrical storage tank has a radius of 1.43 m. When filled to a height of 3.75 m, it holds 13500 kg of a liquid industrial solvent. What is the density of the solvent? Number i Units

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The wing span of an Airbus A300 is 44.8 m.a) What area is swept out per second when the plane is in level flight at 250 m s-1?

2. You are manufacturing a can which is a perfect cylinder. The ideal volume of the can is 375 cm3. Since the bases of the cylinders are exactly 50 cm2, the volume of the can is V = 50h where h is the height of the can in centimeters. You need to cut the sides of the can so the volume has at most an error of 10 cm³. Give the range of heights the can could have and still meet the required specifications for its volume.

1. A uniform sphere of lead (ρ = 11 300 kg / m3) and one of aluminum (ρ = 2 700 kg / m3) have the same mass. What is the relationship between the radius of the aluminum sphere and that of the lead sphere?