A cylinder has a base radius of 7m and a height of 14m. What is its volume in cubic m, to the nearest tenths place?

Q: What is the area in m^2 of a laboratory which is 0.020 km long and 1.0 X 10 m wide?

A: Given,

Q: What is the approximate volume of a tree trunk if the trunk is 12 feet tall with a circumference of…

A: The expression of the volume tree trunk is:Where r is the radius and h is the height the tree…

Q: How many cubic centimeters are there in 3.47yd^3Express the volume in cubic centimeters to three…

A: It is known that 1 yard is equal to 91.44Cm.Then 1yd3 is 764554.858cm3.

Q: A pipe with an outer diameter of 5 inches and a length of 7000 mm Calculate its volume, knowing that…

A:

Q: An 80kg person climbs into a rectangular bathtub with vertical sides, measuring 3 meters long by 1…

A: The volume displaced by human: l*b*h h = 2.7 cm h = 0.027 meter l= 3 meter b = 1 meter   The volume…

Q: green turtle lays eggs that are approximately spherical with an average diameter of 4.5 centimeters.…

A: Given query is to find the total volume of the eggs

Q: A room has 92.6 ft 2 of space. How many square meters is this? 1 m = 3.28 ft (round answer to 1…

A: Write the value of one feet in meters. 1 ft ≈ 0.3048 m

Q: The dimensions of a door are 2ft wide by 10ft 6in high. If the same amount is added to each…

A: Present dimension of door is width = 2 ft and height = 10 ft 6 inch= 10.5 ft. Area of door is given…

Q: A cone has a height of 8 inches and a volume of V = 24 in^3. What is the surface area of this cone?

A:

Q: What is the mass of 0.5m^3 of water?

A: To find the mass of the water

Q: Find the surface area of  a sphere when the volume is 750 m^3

A:

Q: 9. What is the maximum volume of a cylinder with a surface area of 142 cm² ? (Give your answer to…

A:

Q: Discuss what it means for a shape to have an area of  8cm^2

A: The area is the amount of space within the perimeter of a two dimensional shape.

Q: If a drug has a concentration of 3.04 mg per 1.423 mL, how many mL are needed to give 2.651 gram of…

A:

Q: Find the height and radius of a cylinder with volume 250pi in^3 and with the smallest total surface…

A: The volume of the cylinder with radius r and height h is V = 250π in3  ⇒ πr2h = 250π…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.