The diameter and height of a paraboloid are 1 m and 2 m respectively. Determine its dimensions when the volume is cut in half.

Q: The base of a solid is the circle x² + y² = 16. Find its volume if every section perpendicular to…

A: Given that base of a solid is in the form of a circle whose equation is given as x2+y2=16 Also,…

Q: A circular, 8-slice pizza is placedinasquare box that has dimensions four inches larger than the…

A:

Q: A right pyramid 10m high has a square base of which the diagonal is 10m. Find the area of the…

A: Geometrical  pyramid  Area is   150 square meter

Q: A tent has the shape of a regular pentagonal pyramid. The measure of one side of the pentagonal base…

A:

Q: Given a sphere with radius r, find the height of a pyramid of minimum volume whose base is a square…

A: Draw a figure from the given information, a sphere with radius r the base of the pyramid is square,…

Q: The diagonal of a cylinder measures 5m and its diameter is 3m. What is the lateral area of the…

A:

Q: t is the surface

A: The surface area of prism is determined as, S=2B+P·L Finding the base of the triangle using…

Q: The diagram below shows a right square pyramid with a base that is 6 centimeters (cm) on each side…

A: Volume of pyramid=13Area of basexheight 96=1362 x h h=96 x 36 x 6 h=8 cm

Q: A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases.…

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Q: On moving day, Guyton needs to rent a truck. The length of the cargo space is  10   ft , and the…

A:

Q: The area of an ellipse is 301.593 and its perimeter is 64.076. Compute the length of the latus…

A:

Q: Determine the volume if the area common with y^2-3x+7y=8 and x^2-4x+3=y^2 is revolved about the…

A: Question:-Determine the volume if the area common with y2-3x+7y=8 and x2-4x+3=y2is revolved about…

Q: Find the radius of a sphere with volume 4.186 ft3.

A: Volume of the sphere  v=43πr3

Q: The base of a solid is an ellipse whose major axis and minor axis are 12 cm and 8 cm long,…

A:

Q: What is the volume of the sphere? State your answer in terms of T. 3 in

A: We have to find volume of given sphere.

Q: 2. The base of a solid is an ellipse whose major axus and minor axis are 12 cm and 8 cm long,…

A: We need to find volume.

Q: What is the surface area of a rectangular solid (also called a right rectangular prism) whose height…

A: Here we have a rectangular solid. Rectangular solid is also known as Right rectangular prism. We…

Q: A 20 ft long water trough has ends in the form of isosceles triangles whose equal sides are 4 ft…

A:

Q: Choose the best coordinate system to find the volume of the portion of the solid sphere ps3 that…

A: Using spherical coordinate.

Q: A semielliptic archway has a height of 15 feet at the center and a width of 50 feet. The 50 foot…

A: Given that the semi elliptic archway of height of 15 feet at the centre and the width of 50 feet,…

Q: Calculate the volume of a regular quadrilateral - pyramid if the base edge a = 10 cm and the apothem…

A: We can find the volume of the figure as below

Q: Find the volume of the torus generated by revolving the circle (x - 2)2 + y2 = 1 about the y-axis.

A: To determine the volume of the torus generated by revolving the circle.

Q: The army squad tent shown in the figure has a roof with trape- zoidal sides whose bases form a rec-…

A: The army squad tent shown in the figure has a roof with trape- zoidal sides whose bases form a rec-…

Q: A cuboidal box of dimension 1 m * 2m * 1.5m is to be painted except its bottom .Calculate how much…

A: Given, A cuboidal box of dimension 1m×2m×1.5 m is to be painted expected its bottom  . we have to…

Q: 4 Find the surface area of the square pyramid (above) using its net (below). 4

A:

Q: The surface areas of two similar solids are 25 m^2 and 81 m^2. The height of the larger one is 22m.…

A: For the similar objects, the ratio of the area is equal to ratio of squares of their sides.

Q: Find the surface area and volume of a square pyramid with side lengths of 24 in and slant hight of…

A: We will find the surface area and volume of the square pyramid in the following step.

Q: What is the lateral area of a square based pyramid if the side is 5 in and the height is 10 in?

A: I have used surface area fomula for pyramid

Q: Find the volume and lateral surface area of the frustum of a regular square pyramid whose altitude…

A:

Q: The base of a solid is the region enclosed by the ellipse 2x^2+y^2=8. Find the volume of the solid…

A:

Q: parabolend=

A: I answered your Question of double integration. I hope u will be benefited from my solutions thank…

Q: Find the height and the volume of a regular hexagonalpyramid with lateral edges 10 ft and base edges…

A: Volume of a hexagonal pyramid = 13×base area×height Height of a pyramid can be calculated using…

Q: Use what you know about an icosahedron to derive a formula for its surface area. What is the surface…

A: The area of an equilateral triangle is calculated using the formula: A=34a2, where a is the length…

Q: Calculate the lateral area of a regular quadrangular pyramid frustum knowing that the side of the…

A: Calculate the lateral area of a regular quadrangular pyramid frustum knowing that the side of the…

Q: A regular icosahedron has a volume of 200cm3. Find the length of the edge.

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Q: The edges at a common vertex of a tetrahedron are perpendicular to each other. The lenghts of these…

A:

Q: The triangle with side length a=6 cm and angles measures angle B= 45° and angle C= 120° is given.…

A: Given data:- Side length of the triangle, a=6 cm ∠B=45°∠C=120°

Q: A trough with a rectangular base and rectangular sides has vertical trapezoidal ends and is 200 cm…

A:

Q: Draw a cone that is inscribed in a regular pyramid whose altitude is 5 inches less than 3 times a…

A: Concept: The volume of the cone is 13πr2h The surface area of the cone is πr2+πrl Where r is the…

Q: find the surface area of a regular hexagonal pyramid whose height is four times longer than the…

A:

Q: A storage hopper is in the shape of a frustum of a pyramid. Determine its volume if the ends of the…

A: A storage hopper is in the shape of a frustum of a pyramid. Determine its volume if the ends of the…

Q: A standard tennis ball has a diameter of 2.625 inches. The watson tennis ball corporation wants its…

A: Diameter, D  = 2.625 inchesRadius = R = D / 2 = 2.625 / 2 = 1.3125 inchesLength of the label =…

Q: Calculate the total area of a right prism knowing that its bases are rhombuses with diagonals D=26cm…

A:

Q: Rotate the ellipse ( x 2 / a 2 ) + ( y 2 / b 2 ) = 1 around the x-axis to approximate the volume (in…

A: Rotate the ellipse (x2/a2)+(y2/b2) = 1 around the x-axis to approximate the volume of a football.

Q: A parabolic shaped radio transmitter has a diameter of 21 inches. If the signal-emitter (focus) is…

A: Given  Diameter of parabolic shaped radio transmitter = 21 inch  focus = 18 inch

Q: Two cubes whose edges measure 3 cm, 4 cm and 5 cm respectively to form a single cube.Find its…

A:

Q: Find the surface area of the rectangular prism (above) using its net (below). 3 4)

A: To find the Total surface area of the prism

Q: The end of a tough is an isosceles trapezoid of bases 24 inches and 36 inches, and non-parallel…

A: Given that: Bases of the isosceles trapezoid is 24 and 36 inches. Non parallel sides = 18 in, Length…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.