2. Determine the approximate volume of a cube whose edge is 19.95 cm, using differential. 3. Use differential to calculate the volume of the material needed in making a thin sphere with inner radius of 40 cm and a thickness of 0.2 cm.

2. Determine the approximate volume of a cube whose edge is 19.95 cm, using differential. 3. Use differential to calculate the volume of the material needed in making a thin sphere with inner radius of 40 cm and a thickness of 0.2 cm.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...

See similar textbooks

Related questions

Q: Determine the maximum diameter (mm) of a 20 cm long circular cylinder steel needle (density 6000…

A: Given: Length of cylindrical steel needle = 20 cm. Density (ρ) of needle = 6000 kg/m3. Mercury…

Q: (1) What is the approximate volume of a thin cylindrical shell with height 2, radius 3, and…

A: Solution ) Volume of the cylinder V = πx2h x = radius Differentiate with respect…

Q: . Find the rate at which the volume increases when the radius is 30 cm. (Hint: Volume 4 of the…

Q: Approximate the volume of coating on a sphere ofradius 4 in. if the coating is 0.02 in. thick.

A: Given: radius of sphere is 4 in.coating is 0.02 in thick.

Q: Suppose that r = 12 cm and h = 15 cm in the right circular cylinder. Find the exact and approximate…

A: In right circular cylinder radius(r)=12 cm and height(h)=15 cm (a) For lateral surface area…

Q: A linear density of a rod of length 16 m is given by p(x)=25sqrt x+4 measured in kilograms per…

A: In the question it is asked to calculate the value of x at which when the rod is cut, two pieces of…

Q: A right cylindrical can has a radius and height of 50 and 120 cm, respectively. Find the approximate…

A: Let r and h be the radius and height of the cylinder .Then the volume of the cylinder V(r,h) =…

Q: Find the approximate formula for the volume of a thin spherical shell.

A: Consider two spheres centered at the origin with an inner radius r and outer radius r+dr. Therefore…

Q: Suppose a ship's fuel tank has a layer of oil 1.9 m thick and density 631 kg/m3 floating atop a…

Q: The surface area of a sphere increases at a rate of 87 m/sec. Then the rate at which the radius…

Q: Suppose a l-m cylindrical bar has a constant density of 1 g/cm for its left half and a constant…

A: Given, Suppose a 1-m cylindrical bar has a constant density of 1g/cm for its left half and a…

Q: What is the surface area of a right circular cylinder whose base's diameter is 6.52, and height is…

A: We have to find out surface area

Q: ) About how accurately must the interior diameter of a cylindrical storage tank that is 8 m high be…

A: Given: Internal diameter of tank = d

Q: What is the surface area of a right circular cylinder whose base's diameter is 15.2, and height is…

A: Given Diameter =15.2 & Height=11.5To find the Surface Area:

Q: a Escherichia coli cells are about 2.85 µm long and 0.705 µm in diameter. i) How many E. coli cells…

Q: Set up the equation in solving volume of the solid generated when the area bounded by x = Vy, x =…

A: The solid is generated by x=y, x=0 and y=3 around y-axis

Q: About how accurately must the interior diameter of a 10-m-high cylindrical storage tank be measured…

Q: in. BASE in. 14 in. Lateral Surface Area Total Surface Area (Formula) (Formula) (Solution)…

Q: Approximate the change in the volume of a right circular cylinder of fixed radius r= 19 cm when its…

Q: 4. Obtain the volume of the solid that occur when the small side of the circle x +y =2 and the…

A: Graph of the given curves looks like this,

Q: 3 Approximate the volume of a golf ball using differentials if the diameter of its rubber-like core…

A: Given that the diameter of a golf ball's rubber-like core is 32 inches and its ionomer resin cover…

Q: 5. Suppose we measure the radius of a sphere as 10 cm with an accuracy of ± .5 cm. Use linear…

A: For the solution of the problem follow the next steps.

Q: 2. The metal cylinder in Question #1 has a radius (r) = 1.05 cm and a height (h) = 3.32cm. (a)…

A: Given that the metal cylinder has a radius (r) = 1.05 cm and height (h) = 3.32 (a) To calculate…

Q: V. A hemispherical basin of radius 4 ft contains liquid to a depth of 3 ft. If the liquid weighs 48…

A: This is a problem related to pumping volume of the spherical basin to the 3 ft above the container.…

Q: What is the mass of the bar who is 2 meters long with a density in kg/m given by f(x) = 1 + x2?

A: Mass density of the bar is given by the following function f(x) = 1+x2 Length of the bar is 2…

Q: The linear density of a rod of length 1m, is given by p(x) = x'/°, in grams per centimeter where x…

A: Linear density of rod ρ = x1/3 grams/centimetr TO find mass of rod

Q: You are floating in your brand new above-ground 2-meter radius circular pool in your front yard. A)…

A: Volume of tank =0.095 cubic m Radius of tank =2m hight of water when hole is observed h =2.8m…

Q: 1. Find the EXACT lateral area, surface area and volume of a right cylinder with radius of 5 inches…

Q: 21. The volume of the closed cylindrical tank is 11.3 m3. If the total surface area is a minimum,…

A: The volume, V of a cylinder is calculated using the formula, V=πr2h. The surface area, A of a…

Q: calculate the work (in joules) required to pump all of the water out of a full tank. Distancesare in…

Q: The base of a solid is in the first quadrant bounded above by y = 5 and below by y = √5x between x =…

A: The given curves are y=5, y=5x, x=0, x=5 which forms the base of a solid. The cross section of the…

Q: A ballon is filled with 3.8 L of helium gas at STP. Approximately how many moles of helium are…

Q: 2. Find an expression for the amount of work required to lift a thin 10 ft by 10 ft slab whose…

Q: Find the approximate change in the volume V of a cube of side x meters caused by increasing the side…

Q: ZSM-5, a catalyst material, has a surface area of 425 m³/g. What is the surface area of this…

Q: Find volume by evaluating vating triple integralspherical cordinates) use dp dodo Sin o

Q: 13. Find the volume of the solid generated by revolving the area of a circle: (x − 2)² + y² = 4;…

A: The volume of the revolution of the function y=fx from x=a to x=b about the x-axis is: V=∫abπy2dx…

Q: Find the approximate change in the volume V of a cube of side x meters caused by increasing the side…

Q: What is the surface area of a right circular cylinder whose base's radius is 12.8, and height is…

A: Use the formula for total surface area of cylinder.

Q: a. About how accurately must the interior diameter of a 10-m-high cylindrical storage tank be…

A: a.Calculate the radius of the tank can be given as,

Q: My rock has a mass of 16 g and a volume of 2 cm2. What is it's density?

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Derive the equation for the volume of a sphere of radius r using the shell method.

A: Consider a circle of radius (r), which when rotated around x-axis generates a sphere.

Q: 2. Approximate the change in the volume of a sphere when its radius changes from r = 5ft to r =…

A: Given that Radius changes from 5ft to 5.01ft To find the rate of change of volume of the sphere

Q: d the volume of losed by y = line

A: Here the function is f(x)=x , y=0 and x=9 is revolved about the line x=9

Q: What is the differential form for the total surface area of a frustum of a cone with l as the slant…

A: The curved surface area of a frustum of a cone is:

Q: 3. Use differentials to approximate the volume of a spherical shell whose inner radius is 5 cm and…

Q: Find the mass of a straight circular rod of length a and radius b whose density varies as the square…

Q: 3. What will the flow rate be in milliliters per hour for vancomycin 1g/500 mL IV, if it is to be…

A: The given data is: What will the flow rate be in milliliter per hour for vancomycin lg/500 mL IV, if…

Q: The linear density of a rod at a point a centimeters from the left end is, where the left 2 grams…

A: Here, the objective is to find the mass and center of mass of the rod.

Question

differentia
2. Determine the approximate volume of a cube whose edge is 19.95 cm, using differential.
3. Use differential to calculate the volume of the material needed in making a thin sphere with inner
radius of 40 cm and a thickness of 0.2 cm.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the volume of a prism with a base area of 220.0 square centimeters and a height of 7.600 centimeters.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid right cylinder 9.55 centimeters high contains 1910 cubic centimeters of material. Compute the cross-sectional area of the cylinder.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Find the volume of a right circular cylinder that has a height of 4,600 inches and a base area of 53.00 square inches.
A cubical box has interior measurement of exactly 3 meters long along each edge. If the material used for the sides, the top, and bottom of a box are all 0.005 meter thick, use differential to approximate the volume of the material used in constructing the box.
If the original 24 m edge length x of a cube decreases at the rate of 5 m/min, when x = 3 m at what rate does the cube’s a. surface area change? b. volume change?
The edges of a cube are found to be 10cm with an error ± 0.03cm The volume of the cube is then estimated to be 1000 cubic cm. Use differentials to estimate the maxiumum error on this estimate of the volume.
The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use differentials to estimate the possible error in computing the volume of the cube.
Use differentials to estimate the amount of metal (in cm3) in a closed cylindrical can that is 18 cm high and 10 cm in diameter if the metal in the top and the bottom is 0.4 cm thick and the metal in the sides is 0.05 cm thick. (Round your answer to two decimal places.)