What is the ratio of the surface area to the volume (a) for the 1 m sphere (b) for the 2 m sphere (c) for the 3 m sphere?

Q: What geometrical shape has the least surface area for a given volume?

A: The geometrical shape has the least surface area for a given volume is sphere.

Q: Assuming biological substances are 100% water, estimate the mass of a human kidney. Take a kidney to…

A: Mass of a Human kidney

Q: A ball 6 inches in diameter is to be covered by a rubber material which is in-thick. Using…

A: Given: The diameter of the ball is 6 inches. The thickness of the rubber material is 316 in.

Q: The density of a 2-cubic meter block of mass of 1000 kg is how much kg/m^3?

A: Formula for Density is given as, Density = mass volume Given, Mass of a block = 1000kg Volume of the…

Q: A cubic shape object has mass 50 gm and side 20 mm. Find its density in Kg/m3. 6250 1250 5000 10000

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Q: The diameter of the spherical particle is (1.900x10^O) fm, and the mass is (2.51x10^-27) kg.…

A: Formula of density is as follow; ρ=mV…

Q: fine grains of beach sand are assumed to be spheres of radius a. 45.7 μm. These grains are made of…

A: Given data: The diameter of each grain is, The density of the silicon dioxide grain is, Formula…

Q: Iron has a density of 7.87 g/cm3, and the mass of an iron atom is 9.27 * 10-26 kg. If the atoms are…

A:

Q: A spherical balloon is being inflated. Find the rate of increase of the surface area (S = 4tr2) with…

A:

Q: Let's begin with a simple calculation of the weight of air using density. Find the mass of air and…

A: Given data The length of the room is l = 4.4 m. The width of the room is w = 6.1  m. The height of…

Q: Choose the best answer to the following: When you scale up an object to 3 times its linear size, the…

A: Surface area is proportional to the square of the radius.So it is increased by (3)2 = 9 times.

Q: A sphere and a cube have equal volumes. The length of one edge of the cube is 5.65 meters. What is…

A: Given -       volume of sphere and cube are equal        length of one edge of cube =5.65 m

Q: A king size bed is generally measured to be 12 feet wide and 10 feet long in size. How long is it in…

A: The fundamental unit for measuring length is the meter. Conversion of unit of the length is given…

Q: the dimensions of an aquarium are found to be 76.70 cm, 114.50 cm, and 104.2 cm. what is the volume…

A: Given data:  Dimensions of the aquarium 76.70 cm, 114.50 cm, and 104.2 cm Required: The volume in…

Q: What quantity defines the difference between the internal diameter and the external diameter of a…

A: Answer: The thickness of the mug defines the difference between the internal diameter and the…

Q: A closed rectangular container with a square base is to have a volume of 2000 in. The material for…

A: Given: Volume of the container, V = 2000 in3 Cost of material for top and bottom, Ctb = $4 /in2 Cost…

Q: A gry is an old English measure for length, defined as 1/10 of a line, where line is another old…

A: Given         1 gry=110line        1 line=112inchSo ,     1gry=110x112inch=1120 inch

Q: An architect is redesigning a rectangular room on the blueprints of the house. He decides to double…

A: Let the length of the rectangle be L breadth B and height H. Therefore, volume of the rectangle:…

Q: In a swimming pool measuring 90 m by 40 m, 150 men take a dip. If the average displacement of water…

A: The volume of the total displaced water will be equal to the volume of raised water.

Q: Which is the larger unit of volume: a fluid ounce or a milliliter?

A: The volume can be measured for fluids in cubic feet per second or cubic meters per second.  The…

Q: A storage bin has the shape of a cylinder with a conical top. What is the volume of the storage bin…

A: Given Data: The radius of a bin is, r=5.4 ft The height of a cylindrical portion is, h=9.8 ft The…

Q: What is the total surface area of a right circular cylinder with a radius of 2.3 cm and a height of…

A:

Q: As the volume of an object is increased, its surface area also increases. During this increase, does…

A: The square-cube law states that when an object undergoes a proportional increase in size, its new…

Q: Treat a cell in a human as a sphere with a radius of 1.0

A: Given, the radius of a cell assuming it to be spherical, r=1 micrometre  We need to estimate the…

Q: 9. Grains of California beach sand are approximately spheres with a radius of, on average, 50 µm.…

A: 9. Let the given grain’s radius be denoted by R and let the given cube’s side length be denoted by…

Q: Calculate the density in kg/m^3 of a cube with dimensions 0.1m and mass 0, of 0.1 kg? * 10 1000 100…

A:

Q: By what factor does the volume of a cube increase if the lengths of the edges are doubled?

A:

Q: An iceberg has a density of 57.1 lb/ft3. If it floats on freshwater, what percent of the iceberg's…

A: density of iceberg (d) = 57.1 lbft3density of fresh water (d') = 1000 kgm3Let V be the total volume…

Q: In the braking system of a specific car, the area behind the brake pedal is 2 cm squared, while the…

A: Area of brake pedal = a = 2 cm2 Force on the brake pedal = f = 12 N Area of the breaking pad = A =…

Q: A cubic shape object has mass 20 gm and side 20 mm. Find its density in Kg/m3. 2500 1250 5000 10000

A: given mass of  cube is  20 gm

Q: If the linear dimensions of an object are doubled, by how much does the surface area increase? By…

A: dimension of an object is doubled, the total area increases by a factor of 4 or 22.

Q: The diameter of a sphere is measured to be 5.36 in. Find(a) the radius of the sphere in centimeters,…

A: a)Formula to calculate the radius of the sphere is,

Q: Question:suppose a cube 1cm long on each side were scaled up to a cube 10cm long on each edge. 6a)…

A: Original length of cube (L) = 1 cm Scaled up length of cube (L') = 10 cm

Q: density of a rod of length 4 m is given by p(x) = 8 + 2x measured in kilograms per meter, where x is…

A: Linear density = mass/ total length = m/L

Q: What is the volume in L of a cube measuring 1m on each side?

A: Given data:  A cube has each side (s) = 1 m Required: The volume of cube in L

Q: What is the volume of a box that measures 55.0 cm by 30.0 cm by 45.0 cm

A: given dimension of box length (l)= 55.0 cm  breadth (b) = 30.0 cm  height (h)= 45.0 cm where volume…

Q: A cube is 1.0 inch in length on the side (1 in = 2.54 cm). The volume of the cube is

A:

Q: If the length of a rectangle = |5 ± 0.1|m and its width = |4 ± 0.2 | 12 m. So, the rectangle area is…

A: The area is length times breadth. So, A = 5*4 = 20m2

Q: Two decorative spheres are carved from the same slab of marble. The radius of the first sphere,…

A: Consider the masses of both the spheres are m1 and m2, these radiuses are R1 and R2, and these…

Q: One cm3 of gold is 19.32 g. What is the density (ratio of mass to volume) of gold in kg per m3 ?  I…

A: Given that, One cm3 of gold is 19.32 g. The density (ratio of mass to volume) of gold in kgm3 is…

Q: A tank in the shape of a hemisphere has a diameter of 26 feet. If the liquid that fills the tank has…

A:

Q: When trying to solve this problem, I got 2.86 as an answer. This was incorrect. Thank you.

A: By condition,

Q: A cube-shaped block of wood has a density of 750 kg/m3 and a mass of 49 kg. What is the length of…

A:

Q: If you are filling a tank with water at the rate of 10 liter per min. How long (in hours) will you…

A: Given data :- rate of filling water Q = 10 liter/min side of a cubical tank a = 100 cm = 1 m

Q: A spherical ball of metal is heated so that its radius is increasing at the rate of 0.01 cm/min. At…

A:

Units and Dimensions

These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.