A right pyramid has a square base with sides of length 10 units. Each segment connecting the apex to a midpoint of a side of the base has length 13 units. What is the volume of the pyramid?

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A: the base of a regular pyramid is a regular hexagon, each of whose side is 10 cm. if the slant height…

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A: ANSWER :

Q: The cone below has a base area of 6π cm2 and a slant height of 14 cm. Find the volume, rounded to…

A: Base area of cone is πr2and l =14  cmBase Area=πr2=6πr2=6r=6 cmNow, by pythagoras…

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Q: Find the volume of a sphere pyramid of height "h" and base edge of length "a"

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Q: lateral edges of the  solid measures 7, 3, 2, and 4 inches respectively, determine its volume.

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Q: Derive the formula for the volume of a right pyramid whose altitude is h and whose base is a square…

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A: topic - volume of frustum

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Q: A cone has a height of 30 m and a volume of 990 m3 . What is the radius of the base?

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Q: 10. A right pyramid has a square base and a lateral area of 144 in?. If the slant heights is twice…

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

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Q: The lateral edge of a square prism is 20cm long and it is inclined at an angle of 60 degrees with…

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Q: Calculate the volume of a sphere inscribed in a square base pyramid with an altitude of 30m and a…

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

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Q: Find the volume of a frustum of a regular pyramid with hexagonal bases whose sides are 4cm and 6cm,…

A: To find the volume of a frustum of a regular pyramid with hexagonal bases whose sides are 4 cm and 6…

Q: Find the volume of a rectangular pyramid with length 23 m, width 18 m, and height 11 m.

A: GIVEN: length, l = 23 m width, w = 18 m height, h = 11 m

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

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Q: A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter…

A: A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter…

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.