12) The height of a monument is 20 m. A horizontal cross-section at a distance r meters from the top is an equilateral triangle with side x meters. Find the volume of the monument.

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: A pyramid at a museum has a height of 21 meters and a square base with side lengths of 30 meters.…

A: the volume of a square-based pyramid, use the formula V = A(h/3), where V is the volume and A is the…

Q: 3. Solve for the volume of a right octagonal pyramid where the perimeter of the regular octagonal…

A: Consider the given: Since the perimeter of the regular octagonal base is 0.1 meter. Let the side of…

Q: In a frustum of a right circular cone, the radius of the lower base is 15ft, while the diameter of…

A:

Q: Give the dimensions of a box with 5 sides that has a surface area of 300 cm? and holds the largest…

A: Let the dimension of the box is l×b×h, so the surface area of five-sided box is: S=2lb+2bh+lh Given,…

Q: A pyramid at a museum has a height of 21 meters and square base with side lengths of 30 meters.…

A:

Q: 8. What is the area in square meters of the zone of a spherical segment having a volume of 1470.265…

A: given diameter of sphere=30mmtherefore radius will be=30/2=15r=15 mmwe know area of sphere=4πr2

Q: THE VOLUME OF A RIGHT PRISM WHOSE HEIGHT IS 6 cm IS 371.61 cu.m. EACH BASE HAS 5 EQUAL SIDES. WHAT…

A:

Q: 4. The altitude of a right hexagonal prism is twice as long as the edge of the base. If the prism…

A: Given Volume = 1923in3

Q: A welder decides to make a pyramid out of flat steel. The height of the pyramid is to be 3.0 ft and…

A:

Q: A square pyramid has a base with side length 24 cm and has a slant height of 15 cm. What is the…

A:

Q: 2. Calculate the volume of a water cylinder with total height of 10 meters and whose diameter is 400…

A: Given:height=10mDiameter=400 cmVolume of a cylinder=2πrh1m =100 cm

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: A frustum of a cone has an upper base whose diameter is 6 m and a lower  base whose diameter is 12…

A:

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: a regular octagonal prism has its axis inclined at 75 degrees from vertical. the length of this axis…

A:

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: Find the volume of a pyramid with an equilateral triangle base of length 2 on each side, and height…

A:

Q: the length of a side of a cube is equal to the radius of a sphere. which solid has the greater…

A: The length of a side of a cube is equal to the radius of a sphere. Let x be the side of a cube, then…

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: The ratio between the curved surface area and the total surface area of a right circular cylinder is…

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

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Q: A box is to be constructed from a piece of zinc 20 inches square by cutting equal squares from each…

A:

Q: An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions…

A:

Q: The Great Pyramid of Egypt almost has a square base with length of side of about 230m. If the height…

A: Given that,  The Great Pyramid of Egypt has a square base with a length of side 230m and the height…

Q: A regular hexagonal pyramid has one lateral edge which measures 10 cm. The length of one side of its…

A:

Q: THE HORIZONTAL BASE OF REGULAR PYRAMID IS AN EQUIKATERAL TRIANGLE 20 m ON EACH SIDE. IF THE VOLUME…

A: The horizontal base of regular pyramid is an equilateral  triangle has side lengths 20m each.volume…

Q: 7. A right circular cone has a diameter of 18 inches and slant height of 15 inches. Determine the…

A: CONE Diameter = 18  inches slant height = 15 inches volume of cone = ?

Q: Given a sphere of radius 10 ft, what is the volume of the largest cylinder which can be inscribed in…

A:

Q: A square with dimensions 12 cm, 2 cm, 9 cm and a cube have equal volumes. Calculate the edge of the…

A:

Q: Solve for the volume of a right octagonal pyramid where the perimeter of the regular octagonal base…

A: volume of a right octagonal pyramid

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: • How can I derive the formula for area of a sector and how can it be used? • How can I derive the…

A: Solution is given below:

Q: If a metal cylindrical storage tank has a volume of 3000 ft3 and a radius of 8.00 ft, what is its…

A: Solving by volume and total surface area of cylinder

Q: A sphere is cut by two parallel planes 3 cm apart, in such a way that the radius of the upper…

A: Given ,  A sphere is cut by two parallel planes 3 cm apart, in such a way that the radius of the…

Q: If the lateral area of a right circular cylinder is 88 and its volume is 220, find the radius. А. 2…

A:

Q: find the volume and the surface area of a square pyramid with a slant height of 5.22ft, hight of 5ft…

A: Given square pyramid with a slant height of 5.22ft, hight of 5ft and sides of 3ft

Q: The volume of the sphere with the radius 7 is = %3D cubic units

A: Consider the given: It is given that:Radius,r = 7Volume of sphere = 43πr3

Q: 2. Find the volume of a hexagonal pyramid 18.5 m tall with a regular base 15 m on each side.

A: Given that height of hexagonal pyramid h=18.5m regular base on each side b=15m Since volume of…

Q: The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of…

A: We know that the for a cylinder with radius r and height h, Total surface area is 2πrr+h. Lateral…

Q: If the radius of a sphere is doubled, the area of the sphere is multipliedby____ and the volume is…

A: Consider the given information as If the radius of a sphere is doubled, the area of the sphere is…

Q: A 5m by 6m rectangular pyramid whose altitude 15m. Compute volume of the рyramid.

A: The volume, V , of a rectangular pyramid is calculated using the formula, V=13lwh , where, l,w,h are…

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

A:

Q: An oblique cylinder has radius of 14 units and a surface area of 1064 square units. What is 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

Q: · How can I derive the formula for area of a sector and how can it be used? How can I derive the…

A: Area of a sector of circle A circle has 360 degree angle or one full circle has 360 degree angle and…

Q: The surface area of ​​a truncated square pyramid is 2873 cm 2 . The base and the top side lengths…

A:

Q: What is the volume of the largest cone having its circular base circumscribed about a face of a…

A: Given: Diamensions of rectangular parallelepiped are 2ft by 3ft by 4ft. To determine: Volume of the…