6) Find the volume of a cylinder with lateral area 112n and radius 7.

Q: 17) If a right circular cone has a circular base with a diameter of length 10 cm and a volume of 50…

A: The diameter of circular base of the right circular cone is 10 m and so radius of circular base of…

Q: A regular hexagonal prism is inscribed in a cylinder of radius 6 and height 4. What is the surface…

A:

Q: A silo consists of a right circular cylinder surmounted by a right circular cone cover. What is…

A: When we place right circular cone on top of a cylinder, the curved surface area of the combined…

Q: A right circular cone has a slant height of 12 ft and a lateral area of 967 ft'. Find its volume.

A: Given slant height and lateral area of cone are 12 ft and 96πft2, respectively. Obtain radius of the…

Q: Suppose the pyramid below has a square base with side of length 9 meters and has height from the…

A: Given, a pyramid has a square base with side of length 9 m and height from base to apex is 12 m.…

Q: Find the lateral and total surface area of the cylinder 6 in Lateral area = %3D Total Surface Area =…

A: Given Data: The radius of the cylinder is: r=6 in The height of the cylinder is: h=11 in The area of…

Q: A solid has a circular base of radius 3. What is the volume of the solid if vertical cross-sections…

A:

Q: The monument of Cestius in Rome which is a square pyramid is a square pyramid 121.5 ft high with a…

A:

Q: Two cubes each of volume 27 cm3 are joined end to end to. Form a solid. Find the surface area of the…

A:

Q: Calculate the volume of a cylinder inclined at an angle θ = 30◦ with height 10 and base of radius 4…

A: Given,  A cylinder with height 10 and base of radius 4. Also, it inclined at an angle of θ=30°.…

Q: A hemispherical bowl of radius 5 cm is filled with water to within 3 cm of the top. Find the volume…

A:

Q: A cone has a volume V. What base radius and height will minimize the lateral surface area?

A: Given, a cone with volume V. Let the slant height of the cone m , radius R and height H.   The…

Q: a right cone with slant height of 5.6 centimeters and a radius of 1 cm. find the volume

A: For the right cone Slant height s=5.6 cm Radius r= 1cm Volume V = ?

Q: Find the volume of the solid whose base is an isosceles triangle (with base 6 meters and sides 5…

A: Given a solid whose base is an isosceles triangle (with base 6 meters and sides 5 meters) and whose…

Q: Find the dimensions of the right-circular cylinder of greatest lateral surface area that can be…

A: Given, The radius of the sphere is 6 inches.

Q: A grain storage building is a hemispherical shell with a radius of 25 meters. What is the volume of…

A: volume and curved surface area of hemisphere is

Q: Find the volume of an oblique cone with radius 4 and height 3.5?

A: Given that : Radius ( r) = 4 and height (h) = 3.5 .

Q: A cone is formed from a circular piece of material of radius 1 meter by removing a section of angle…

A:

Q: A solid has a circular base of radius 3. What is the volume of the solid if vertical cross-sections…

A:

Q: Consider a right-circular cylinder of diameter 1. Form a wedge by making one slice parallel to the…

A: The diameter of the right circular cylinder is d=1. The angle which is made by other slide to the…

Q: Estimate the volume of material in a cylindrical shell with length 30 in., radius 6 in., and shell…

A: Given a cylindrical shell with length 30 in., radius 6 in., and shell thickness 0.5 in

Q: A cylinder with length 1 m and radius 5 cm has a cone of the same radius and length of 10 cm…

A: We will find out the required value.

Q: The area of the base of an aluminum can with a shape of right circular cylinder is 158.5 sq.in. and…

A:

Q: 6. A solid has a circular base of radius 3. What is the volume of the solid if vertical…

A:

Q: A cone and a cylinder each have radius of 3 and height 4 - ratio of 3:4. what is the ratio of their…

A: given,       A cone whose radius=3 and height =4A cylinder whose radius=3 and height =4

Q: 2. A right cylinder is inscribed in a cone with height 3 cm and radius of 9 cm. Find the largest…

A: We have to find the largest volume.

Q: A square pyramid whose base width is óm has an altitude of 12m is cut by a plane parallel to the…

A:

Q: A regular square pyramid has lateral area 60m2 and base edge 6 m. Findthe volume

A: We know that the lateral area (A) of a square pyramid is: A=aa2+4h2 where a is the base edge and h…

Q: From a solid cube of side 7 cm , a conical cavity of height 7 cm and radius 3 cm is hollowed out…

A:

Q: A company wants to build a cylindric closed petroleum barrel with 4 feet height in a way that the…

A:

Q: A right circular cone has a slant height of 12 ft and a lateral area of 96™ ft². Find its volume.

A: Let r be the length of radius of base, h be the altitude of the circular coneand l be the length of…

Q: Find the height of a right circular cylinder of maximum volume, which can be inscribe in a sphere od…

A: Topic:- geometry

Q: 9. A right pyramid has a height of 45 meters and a square base with sides 60 meters long. Determine…

A:

Q: calculate the volume of the water inside a 6in radius hemispherical bowl if the height of the water…

A: The volume of water of height h inside a hemispherical bowl with radius R.

Q: Find the volume of the solid with a circular base of radius 4 and the cross sections perpendicular…

A: Given, the radius is 4 so we can conclude x2+y2=4 (equation of circle) =y2=4-x2 y=4-x2 one side of…

Q: A cone has radius 8 and height 6. Find the volume.

A: Given: A cone has radius 8 and height 6. To determine: Volume of the given cone.

Q: A regular triangular pyramid has an altitude of 9 m and a volume of 46.8 m^3. Find the lateral area…

A: Given: Altitude of triangular pyramid: h=9  mVolume of the pyramid:  V=46.8  m3

Q: A cone is formed from a circular piece of material of radius 1 meter by removing a section of angle…

A: To determine the largest possible volume for the cone, if a cone is formed from a circular piece of…

Q: Estimate the volume of material in a cylindrical shell with length 48 in., radius 4 in., and shell…

A:

Q: a right triangular pyramid has a lateral edge that measures as long as the side of its regular…

A: We can find the volume and total surface area as below.

Q: A boiler is in the form of a cylinder 2 m long with hemispherical ends each of 2 metre diameter .…

A:

Q: A cheese ball with a spherical appearance has a volume 7238.229 cubic centimeter is to be cut into 4…

A:

Q: A right circular cone of radius 3 cm has a curved surface area of 47.1 cm2  Find the volume of the…

A:

Q: A vegetable bin built in the form of a cube with an edge of 8 ft. is divided by a vertical partition…

A: We will find the lateral surface area

Q: A hole of radius 6 cm is drilled through the center of a sphere of radius 10 cm. How much of the…

A:

Q: A right circular cylinder has radius 3 units and volume 72π. What is the height of the cylinder?

A:

Q: A sphere and a cube have equal surface areas.show that the ratio of the volume of the sphere to that…

A:

Q: If a right circular cone has a circular base with a diameter of length 10 cm and a volume of 100T…

A: Given that, Diameter of right circular cone d = 10 cm So radius of right circular cone r = 5 cm And…

Q: Find the total area and volume of a cylinder with radius 10 and height 8.2

A: Cylinder is a very basic 3 dimensional shape with circular base and top with 2 parameters, a radius…

Q: 2.The monument of Cestius in Rome which is a square pyramid is a square pyramid 121.5 ft high with a…

A: According to question, Height of pyramid h = 121.5 ft, Base edge of square pyramid b = 98.4 ft

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.