(3) Find the volume of a square pyramid with base side length 6m and height 8m? (Be careful with your slices. They are no longer circles like the in class examples with cones, they are squares!)

Q: 12. A 20-ft long water trough has ends in the form of isosceles triangles with sides that are 4 ft…

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A: To find the formula for the total surface area of a right circular cone with radius r and height h.

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Q: A circular cylinder is to be generated by revolving a rectangle with a given perimeter p around one…

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Q: 2. Imagine a very huge industrial metallic bucket is in the shape of the frustum of a right circular…

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Q: A sphere with a radius of 3 in. is repeatedly filled with water and emptied into a cone with a…

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Q: A ball of radius 1 is contained in a right circular cone. Find the snallest possible surtace area of…

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Q: 1. Which has a bigger volume, a sphere with radius 2 meters or a pyramid with base 2.5 meters and…

A: Hello, thank you for the question. We’ll answer the first question since the exact one wasn’t…

Q: A hemispherical tank having a radius of 2.5 m is filled with water to a depth of 1.8 m. If a solid…

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Q: Solve the following as directed. 1.) Find the volume of the largest right circular cylinder that can…

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Q: 8. Two similar cones have a combined volume of 400 in, and the larger cone holds 80 in.° more than…

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Q: How far from its center should a grapefruit with a 5-inch diameter be sliced in order that both…

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Q: 6. Daniel is wondering how to find the volume of this truncated cone. He thinks that it would help…

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Q: 3. Determine the dimensions of the right circular cylinder, with the greatest volume, that can be…

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Q: 20) In a right regular pentagonal pyramid, suppose that each base measures 4 cm and that the apothem…

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Q: A hexagonal pyramid (not regular) with base ABCDEF has plane symmetry with respect to a plane…

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Q: 2. A right triangle with hypotenuse of 5V3 cm. is revolved about one of its legs to generate a cone.…

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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: 1. What is the volume of a cube whose edges are (4a + 3) cm in length? A. 64a³ – 48a² + 36a − 27 ??³…

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

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Q: 1) The area of zone (B) is 3000 m², find the area of zone (A). shape (A) is regular, (B) is a half…

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Q: 1. Imagine the plumb bob as a perfect cone, compute for the volume of steel needed to make the cone…

A: use the formula for volume of cone .

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Q: The base of a solid is the unit circle x^2+y^2=1 , and its cross sections perpendicular to the…

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Q: 3. The base of a right regular hexagonal prísm has a perimeter of 36 cm and a volume of 396v3 cm³.…

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Q: How can I find the volume of the cylinder with the given information from the tabe? The seconf…

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Q: 9. Find the volume of a frustum of a right circular cone with height h, lower base radius R, and top…

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Q: Let V be the volume of a pyramid of height 15 whose base is a square of side 5. 5

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

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Q: In a beehive, each cell is a regular hexagonal prism, open at one end with a trihedral angle at the…

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Q: 6. Find the volume of the torus generated by revolving the circle x² + y² = 4 about the line .x = 3.

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Q: 3. Show that the volume of a truncated prism whose right section is a paral- fologram is the product…

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Q: The base of a solid is the unit circle x2 + y2 = 1, and its cross sections perpendicular to the…

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Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.