4. The altitude of a right hexagonal prism is twice as long as the edge of the base. If the prism has a volume of 1923 in.', find the surface area.

Q: Find the volume of a right circular cone that has a height of 7.5 m and a base with a radius of 14.7…

A: Volume of right circular cone is, V=π(r)2×h3where,r=radius and h=height Here, r=14.7 m h= 7.5 m

Q: Find the volume of a right circular cone that has a height of 9.6 cm and a base with a radius of…

A:

Q: 6. Give formulas for the volume and the surface area of acone whose height h is three times its…

A: Given: The height of  cone is three times it's radius. Formula Used: Vol of cone=13πr2hSurface…

Q: A grain silo consists of a cylinder with a hemisphere fit perfectly on top. If the cylinder has…

A:

Q: 3. Find the volume of the largest right-circular cylinder that can be inscribed in a right-circular…

A: As per bartleby guidelines, for more than one questions, first one needs to be solved. The diagram…

Q: Find the volume of a right circular cone that has a height of 3.2 m and a base with a radius of 14.1…

A:

Q: 5.) A box is to be constructed from a square piece of zinc with side 40 in by cutting equal squares…

A: Explanation of the answer is as follows

Q: 9. Suppose that each of the bases of the hexagonal prism in Exercise 1 has an area of 12 cm2 and…

A: 9. The formula for the volume of a regular prism is given as follows:

Q: If the length of one side of a cube is 4 m. Find its Volume.

A: A Cube is a solid three-dimensional shape with six square faces, eight vertices, and twelve edges in…

Q: 1. If the cube has a side lenght of 1 unit, what is the volume 2.) What is the surface area of the…

A: volume = no of cube*(volume of 1 cube) volume = 44*(1*1*1) volume = 44 unit3 now for surface area =…

Q: 20. What is the exact volume of a cylinder whose diameter is 10 meters and whose helght is 12…

A:

Q: 2. The EXACT surface area of a cylinder is 160a in?. If the radius is 5 in, find the height & the…

A: Surface area of cylinder = 2πrh + π r2 And  Volume of cylinder V = π r2 h

Q: 3. Calculate the volume of a cylinder where: a) the area of the base is 30 cm 2 and the height is 6…

A: Consider the information. (a) The area of cylinder is 30 cm 2 and the height is 6 cm. The formula of…

Q: 3.A circular, 8-slice pizza is placed in a square box that has dimensions four inches larger than…

A: Let us assume that the pizza has a diameter of x inches Since the side of the square shaped pizza…

Q: If a cone has a radius of 4 centimeters and a height of 12 centimeters what is the volume of the…

A: Given Height of the cone h=12 cm Radius of the base of the cone r=4 cm

Q: Given that the altitude is 2/3 of the total altitude of a cone which is 10m and the base of the cone…

A: The volume of the frustum can be obtained using the formula V=13πH(R2+Rr+r2). Here, H is the height…

Q: 2. CALCULATE THE VOLUME OF A RIGHT CIRCULAR CONICAL CONTAINER (IN LITERS) WHOSE HEIGHT IS 4 YARDS…

A:

Q: A frustum of a conical tank whose upper radius is 10 cm, lower radius of 8 cm and height of 12 cm is…

A:

Q: 4. The exact lateral area of right cone is 4441 inº. If the radius is 12 in, find the exact surface…

A: A cone has lateral surface area 444π in2 and radius 12 in.

Q: 5. Give formulas for the volume and the surface area of acylinder whose radius r is half of its…

A: To give the formula for the volume and the surface area of a cylinder whose radius r is half of its…

Q: 14.) Find the volume of a sphere with radius 18 m.

A:

Q: Find the volume of a right circular cone that has a height of 6.5 cm and a base with a radius of 8.5…

A: A right circular cone that has height of 6.5cm and a base radius of 8.5cm

Q: A cylinder has a base radius of 4m and a height of 6m. What is its volume in cubic m, to the nearest…

A: Volume is the space covered by the object or any geometric figure in a three dimensional space. It…

Q: 22. What is the exact volume of a cone whose base radius is 9 feet and whose height is 13 feet? Show…

A: The volume of a cone = (1/3) πr2h cubic units Where, ‘r’ is the base radius of the cone ‘h’ is the…

Q: A cylinder has a base diameter of 10m and a height of 14m. What is its volume in cubic m, to the…

A: Volume of cylinder = πr2h

Q: If total surface area of a solid hemisphere is 462 cm2 Find its volume

A:

Q: Find the volume of a right circular cone that has a height of 3.2 m and a base with a radius of 14.1…

A: We have to find volume right circular cone that has a height of 3.2 m and a base with a radius of…

Q: Determine the volume of a sphere in ft³ circumscribed a cone with an altitude of 5ft and a radius of…

A:

Q: Find the surface area and volume of a 10-cm-high right prism with triangular bases having 18-cm…

A:

Q: 19. Find the surface area of a sphere with volume of 288π m. Give your answer in terms of π

A: Volume of a sphere, V = 4/3(πr3) Surface Area of Sphere, A = 4πr2

Q: 1. If the edge of a cube is 8 cm and increases by 0.1 cm, what is the approximate change in volume?

A:

Q: Find the volume of the cylinder in terms of x and to the nearest tenth. 4 in The volume in terms of…

A: Volume of cylinder is πr2 h

Q: A cylinder has a base radius of 3m and a height of 17m. What is its volume in cubic m, to the…

A:

Q: Find the volume of a square pyramid with a height of 13 m and base edges of 7 m. m3 (Round to the…

A:

Q: 6. A regular pentagonal prism with base perimeter of 20 cm and height of 10 cm is made of wax. If it…

A: Given:   Perimeter = 20 cm     Height = 10 cm

Q: 1. The lateral area of a right cylindrical tank is 487 m² and its volume is 727 m³. Find the…

A: (1) Lateral surface of a cylinder with height h and base radius r is  S=2πrh Volume of the same…

Q: 9. Compute the volume and surface area of a right circular cone for which the base has a radius of…

A: We have to solve above question and find the cone s volume and surface area

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

A: Given query is to find the perimeter of the triangular Prism.

Q: A right triangle with dimensions 9in x 12in x 15 in is spun around the side of length 12in. What is…

A: Volume of cone =( πr2h)/3

Q: 2. The EXACT surface area of a cylinder is 160n in?. If the radius is 5 in, find the height & the…

A: Given: Surface area of cylinder(A)=160π in2            radius of cylinder(r)=5 in To find: (a)…

Q: 2.Find the volume of the largest circular cylinder that can be inscribed in a sphere of radius R

A:

Q: A square base prism and a cylinder both have the same height of 4 cm in the same base area if the…

A:

Q: A cylinder has a base radius of 7m and a height of 14m. What is its volume in cubic m, to the…

A:

Q: 2. Find the largest volume of a cylinder that fits into a cone has base radium R and height

A:

Q: 21. What is the exact volume of a sphere whose diameter is 14 cm? Show your work.

A: We will solve the following.

Q: Find the volume of the largest pyramid of square base that can be cut from s cube of edge a meters.…

A: A pyramid is a solid whose base is a plane polygon and sides are triangles that meets in a common…

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

A:

Q: A soup can in the shape of a right cylinder has a radius of 4.3 cm and a height of 11.6 cm. What is…

A:

Q: A cylinder has a base radius of 6ft and a height of 18ft. What is its volume in cubic ft, to the…

A:

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

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.