Problem 1: Suppose you have a coffee mug with a circular cross section and vertical sides. What is its inside radius if it holds 375 g of coffee when filled to a depth of 7.5 cm? Assume coffee has the same density as water, 10³ kg/m³.

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 6.22 × 10³ kg/m³. What fraction of the specimen's apparent volume is solid? Number i Units

An​ outdoor, rectangular pool on campus is 4.5 meters​ [m] in width and 7.5 meters​ [m] in length. You may assume the depth of the pool is constant. If the pool is filled with pure​ water, the total pressure probe at the bottom of the pool reads 16.5 ​pound-force per square inch​ [psi]. What is the volume of the water in the pool in units of kiloliters​ [kL]?     Length Force Mass Pressure 1 ft=12 in 1 N=0.225 lbf 1 kg=2.205 lbm 1 atm=101325 Pa 1 in=2.54 cm   1 slug​ = 14.5939 kg 1 atm=14.7 psi 1 m=3.28 ft   Density of water=1000 ​kg/m3 Surface pressure=1 atm

the second pic is the available units and the tolerance needed to answer the question