A snowman is made from three spheres of packed snow stacked on one another. Assume each sphere has a uniform volumetric mass density that is three quarters that of water. The volumetric mass density of water is ?????? = 1 (?/??). The bottom sphere has a radius of 50 cm. The middle sphere has a radius of 35 cm. The top sphere has a radius of 20 cm. The formula for the volume of a sphere is ???ℎ??? = (4/3)??^3. How far above the ground is the center of mass of the snowman?

Blood flows through the aorta at an average speed of v = 18 cm/s. The aorta is roughly cylindrical with a radius r = 17.0 mm. The volume rate of blood flow through the aorta is πr2v. Calculate the volume rate of blood flow through the aorta in L/min.

the average density of an atom is approximately 103 kg/m3. The nucleus of an atom has a radius about 10-5 times that of the entire atom, and contains nearly all the mass of the atom.  What is the approximate density, in kilograms per cubic meter, of a nucleus?

The mass of the cube is 12 grams. Calculate the density of the cube using the length measurement values read from the micrometer. Length: 1.05 mm Width: 1.25 mm Height: 0.95 mm width length A. 8.2 g/cm3 B. 13.4 g/cm? C. 9.6 g/cm3 D. 8.4 g/cm3 E. 10.1 g/cm3 height

The shell is thin, but has a definite thickness.  Calculate the (volume) density of the shell, in g/cm3.  Here are the numbers: R = 13 cm M = 800 grams thickness = 0.3 mm

b) In an equation (P+) (V - b) = RT, where P is the pressure, V is the volume, T is the temperature and a, b, R are constants. What is the dimensional formula of ?

The Statue of Liberty in New York City is approximately 305 ft305 ft tall. How many U.S. dimes would be in a stack of the same height? Each dime is 1.35 mm1.35 mm thick. number of dimes:     Each dime has a mass of 2.268 g.2.268 g. How much would the stack of dimes from the previous question weigh? mass:   g What is the value, in dollars, of the same stack of dimes? value:   dollars The 2017 U.S. gross domestic product (GDP) was valued at 19,390,604,000 dollars.19,390,604,000 dollars. How many Statue of Liberty‑height stacks of dimes are needed to match the GDP in value? number of stacks:

Express the answer in standard scientific notation with the appropriate number of significant figures. a. The mass of a blue whale, 180000 kg. ____ x10 ^___kg b.  The diameter of a helium nucleus, 0.000 000 000 000 003 8 m. ____ x10 ^___m

A group of students wish to determine, experimentally, the bulk density of an unknown metal. To determine this amount, the students measured the diameter, height, and mass of various cones. These values appear in Table 1. Determine: a) The volume of the cones and place them in table # 1. Table 1 Cones Height(cm) Diameter(cm) Volume(cm) Mass(g) 1 5 565 10 5 1295 15 1685 4 20 2160 5 25 2860 30 3505 7 35 3980 8. 40 4675 b) Using the graphical method, determine the density of the material. c) Make a prediction of the mass of a sphere that has a radius of 75 cm and is made of the same unknown material as the cones in the previous problem. 6. 00

42) An open pipe, 0.85 m long, vibrates in the second overtone with a frequency of 653 Hz. In this situation, the length of the shortest stopped pipe, that has the same resonant frequency as the open pipe in the second overtone, in cm, is closest to: A) 43 B) 17 C) 28 D) 14 E) 7.1 42)