The main tank has a radius of 95 feet. What is the volume of the quarter-sphere sized tank rounded to the nearest whole number?  The holding tanks are congruent in size, and both are in the shape of a cylinder that has been cut in half vertically. The bottom of the tank is a curved surface. What is the volume of both tanks if the radius of tank #1 is 15 feet and the height of tank #2 is 120 feet?

Q: Suppose Hayley wants to mail a poster inside a cylindrical container. To mail a cylindrical package…

A: Surface area of cylinder=2πr2+2πrl

Q: The sum of the lengths of all edges of a cube is 60 cm. Find the volume V and the surface area T of…

A: Given: The sum of the lengths of all edges of a cube is 60 cm. The number of edges in a cube is…

Q: A rancher has 2420 feet of fence to enclose a rectangular region that lies along a straight river.…

A: A rancher has 2420 feet of fence to enclose a rectangular region that lies along a straight river.…

Q: Jane, an architect, is designing a skyscraper that will become part of the New York City skyline.…

A: Assume height of building to be h ft and difference in width of building and foot print to be x ft.…

Q: A silo is to be constructed so that a farmer can store grain inside it. The silo is designed to have…

A: Consider the provided question, The silo is designed to have the shape of a cylinder. Given, height…

Q: h= 5 R. %3D

A: Given that Height of spherical segment=5cmand volume of sphere=90cm3we know thatvolume of…

Q: A sphere has a radius of 4 inches,and a cube-shaped box has an edge length of 7.5 inches. J.D. says…

A:

Q: If I have a cube that is 1 meter on each side, what is the surface area of one side in square…

A:

Q: A farmer has $1500 available to build an E-shaped fence along a straight river so as to create two…

A: A farmer has $1500 available to build an E-shaped fence along a straight river so as to create two…

Q: After a windstorm blew the roof off of an old silo in Tinmouth, the owner of the farm decided to…

A: After a windstorm blew the roof off of an old silo in Tinmouth, the owner of the farm decided to…

Q: If the volume of a sphere is 2304 cm cubed. Then what is the radius.  Can you please show the…

A: →Volume of sphere is given by,                                                 V = 43π r3

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.