How big is a ton? That is, what is the volume of somethingthat weighs a ton? To be specific, estimate the diameter ofa 1-ton rock, but first make a wild guess: will it be 1 ftacross, 3 ft, or the size of a car? [Hint: Rock has mass pervolume about 3 times that of water, which is 1 kg per liter (103 cm3  or 62 lb per cubic foot.]

A pyramid has a height of 481 ft. And its based covers an area of 13.0 acres. The volume of the pyramid is given by the expression V=1/3 Bh, where B is the area of the base and h is the height find the volume of yhis pyramid in cubic meters (1 acres=43560 ft²

One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in room temperature. Using those numbers, answer the following questions: a) What is the mass of a single gold atom in kg? b) Assume that gold atoms sit in a perfect cubic crystal structure. Estimate the distance between two gold atoms in meters.   c) If we have a gold cube of 6 cm on each side, how many atoms can we fit along the edge of each side of the cube?  d) What would be the mass, in kilograms, of the gold cube we discussed in part (c) (measuring 6 cm on each side)?

(a) The volume V of a growing spherical cell is V = ³, where the radius is measured in micrometers (1 μm = 10-6m). Find the average rate of change of V with respect to r when r changes from 6 to each of the following. (Round your answers to one decimal place.) (i) 6 to 9 μm # Tab (ii) 6 to 7 μm aps Lock Esc Submit Answer (iii) 6 to 6.1 um (b) Find the instantaneous rate of change of V with respect to r when r = 6 μm. (Round your answer to one decimal place.) V'(6) = Tum3 / um Need Help? um3/um 1 μm³/um F1 Q um3/um Type here to search Read It F2 2 F3 # 3 O WE F4 $ 4 E R F5 C % 5 T F6 ( A 6 F7 Y 0 & 7 F8 U 4 * 8 F9 8 ( 9 F10 66°F Clear ) F11 0 A O6 6 P A S D F G H J K 2 L 3 Activate Windows Go to Settings to activate Windows. O F12 4) ENG 9:36 PM 10/6/2022 U Backspace Delete Enter