A sphere inscribed in a right circular cone with altitude 18 cm. If the slant height of the cone and the diameter of its base have equal length

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

A: Draw the corresponding figure.   According to the figure, slant heights are AB and AC and the…

Q: If in the frustum of a cone the diameter of the upper base equals the slant height, find the lateral…

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Q: Find the surface area of a square pyramid with side length 2 km and slant height 2 km. km 2 km 2 km

A: given,       base of the pyramid is square .

Q: a sphere inscirbed in a right circular cone whose slant height has a length equal to the diameter of…

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Q: A fuel oil tank is an upright cylinder, buried so that its circular top is 16 feet beneath ground…

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Q: Two cubes whose edges measure 3 cm, 4 cm and 5 cm respectively to form a sing le cube.Find its…

A: As three side lengths are given some there are three cubes form a single cube.  Here, simply equate…

Q: A cylinder and a cone have equal base radii and equal heights. If the volume of the cone is 50 cm',…

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Q: 29. A right circular cone is inscribed in a sphere. If the slant height of the cone has a length…

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Q: The area of the whole surface of a cone is 64 sq. m. and the slant height is 5 times the radius of…

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Q: For a right circular cone, the slant height has a measure equal to twice that of the radius length…

A: Given a right circular cone. Whose total area is 48π in2. Slant height=Twice of radius. Let, For…

Q: Find the surface area of a square pyramid with side length 3 mi and slant height 3 mi.

A: The given figure of the square pyramid is: From the figure, it is clear that this square pyramid…

Q: A big circle is inscribed in a square. A small circle is tangent to the big circle and to two sides…

A: To find the exact area of the small circle from the given picture

Q: If the diameter of a sphere is 14 cm, then what is the curved surface area (in cm?) of the sphere?

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Q: lengths of 20m as shown. The height of each of its triangular faces is 17m. What is the area of the…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: If a right circular cone has an area of base equal to 50 π sq. units. And volume of 500 π cu. units,…

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Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A: This is a problem of the maxima and minima concepts. For admitting most light into the window its…

Q: Find the surface area and volume of a square pyramid with side lengths of 24 in. and slant height of…

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Q: Find the surface area of a square pyramid with side length 2 mi and slant height 4 mi.

A: Given: A square pyramid. side length (a) is 2 mi. Slant height (l) is 4 mi. Objective is to find…

Q: A fuel oil tank is an upright cylinder, buried so that its circular top is 16 feet beneath ground…

A: Explanation and solution is given below.....

Q: A cylinder and a hemisphere have the same diameter and the same volume. If the cylinder has a height…

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Q: 10. A sphere is inscribed in a right circular cone whose slant height has a length equal to that of…

A: Given:

Q: A regular square pyramid has an altitude of 12m and a volume of 196m^3. Determine the slant height…

A: Follow the procedure given below.

Q: 16) For an aluminum can, the lateral surface area is 80 n in. If the length of the altitude is 6 in.…

A: Definition used –    Word problem in one variable – If we have a word problem where we have to find…

Q: A fuel oil tank is an upright cylinder, buried so that its circular top is 10 feet beneath ground…

A: The work is:-

Q: 4. A milldam of earth, with plane sloping sides of rectangular bases, 10 m. by 5 m. at the top and…

A: Area of top  =  b  =  10 * 5  =  50 m2    Area of bottom  =  B  =  20 * 10  =  200 m2    Height of…

Q: .If the lateral area of a right circular cylinder is 90 cm2 and its volume is 225 cm3, find its…

A: Given that: Lateral area of a right circular cylinder, A=90 cm2Volume of cylinder, V=225 cm3

Q: A grain silo consists of a cylindrical main section and a hemispherical roof. If the total volume of…

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Q: Draw a cone that is circumscribed about a regular pyramid whose base edge is 5 inches less than 3…

A: In the above diagram, ABEDC is a regular pyramid with the height AG and base central angle ∠AFG=π4.…

Q: When the radius of a sphere is doubled, the volume of the new sphere is as large as the volume of…

A: The new radius is 2r now, So, the new volume will be: V=43π(2r)3=43π(8r3)=843πr3=8(old volume)

Q: Find the surface area of a square pyramid with side length 2 mi and slant height 2 mi.

A: The square pyramid has side length 2mi and slant height 2mi

Q: In a frustum of a cone the radii of the base circles are 35  cm and 9 cm. If the altitude is 2 cm,…

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

A: GIVENslant height  length = diamter of sphere=diamter of cone17 cm=diamter of sphere

Q: The base of a rectangular pyramid has dimensions 6 by 12. The slant heights of the two lateral faces…

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Q: A picture frame is in the shape of a square with a circle removed from the centre. If the radius of…

A: Given, a picture frame is in the shape of a square with a circle removed from the centre. if the…

Q: find the surface area of a regular hexagonal pyramid whose height is four times longer than the…

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Q: Find the total surface area (cm2) of the square pyramid if its perpendicular height is 12 cm and its…

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Q: if the slant height of the frustum is 13 ft, find the total area of the frustum. A. 1,382 sq.ft B.…

A: The diameter of the lower base is d1=24ft.  The diameter of the upper base is d2=14ft. The relation…

Q: A cylinder can hold 450 cubic inches of water. How many cubic inches of water can a cone that has a…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

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

A: Given:

Q: 1. Find the total area of the frustum of a cone whose slant height is 2.6 meters and the radii of…

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Q: Find the volume of a cone to be constructed from a sector having a radius of 36 cm and a central…

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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: Find the surface area of a square pyramid with side length 5 ft and slant height 6 ft. 6 t 5 ft 5 ft

A: Given: Base side length (a)= 5 ft   and slant height (h)= 6 ftsurface area of the square pyramid =…

Q: 3.) Find the surface area and volume of a square pyramid with side lengths of 24 inches, and a slant…

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Q: If x = 15.5 cm. and z = 23.8 cm., then the LATERAL AREA of the square based pyramid is _____cm2.…

A: The answer is found in step-2

Q: 3. Find the radius, height and EXACT volume of the right cylinder formed by the net (flat pattern)…

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Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

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Q: The total surface area of a frustum of a right circular cone is 436πcm^2, and the base areas are…

A: If a cone is cut by a plane parallel to the base of the cone, then the portion between the plane and…

Q: Suppose the area of the base of a pyramid is 112 ft2 and its lateral surface area is 198 ft2. What…

A: Given, Area of the base of the pyramid = 112 square feet Lateral surface area of the pyramid = 198…