A bucket is in the form of frustum of a cone and holds 28490 litres of water. the radii of the top and bottom are 28 cm and 21 cm respectively. Find the height of the bucket

Q: The base of a triangle is18 cm and its height is 10 cm. Find its area.

A: Given,  Base of a triangle = 18 cm  Height of a triangle = 10 cm   We have to find the area of…

Q: The hypothenuse of the right triangle is 15cm long. If each leg were decreased by 2cm, the…

A: Given :           By hypotenuse theorem,     a2 + b2 = 152 .............(1)a-22 + b-22 = (15-4)2 a2…

Q: .) The Luxor Hotel in Las Vegas is a square base pyramid that is 646 feet wide at the II. How much…

A: The base of square pyramid is 646 feet and height of pyramid is 350 feet The amount of air will be…

Q: Find the height of the square pyramid. Volume = 270 m3 9 m meters. The height is

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Q: The bases of an isosceles trapezoid measure 20 units and 30 units. while the height is 10 units.…

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Q: A square pyramid with a height of 7 inches has volume of 47.25 cubic inches. Find the side length of…

A:

Q: A city plans to plant grass seed in a public playground that has the shape of a triangle with a…

A: The solution is given as follows

Q: The volume of a pyramid is 48 cubic feet and the area of the base is 12 square feet. Find the height…

A: Given, the volume of the pyramid is 48 cubic feet, and the base area is 12 sq ft. The objective is…

Q: A cone has a volume of 351n Cubic feet and height of 13 feet. Find the diameter of the cone.

A: Given that volume of a cone.V= 351π ft3h= 13 ft

Q: The pyramid of Khufu is a regular square pyramid with a base edge of approximately 776 feet and an…

A:

Q: A rectangular billboard has a perimeter of 72 ft and an area of 288 ft2. Find the dimensions of the…

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Q: Two sides of a triangular lot measure 14 cm each. What is the maximum possible area of the triangle?

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Q: The base of the pyramid is 72 cm, and the length of TP = 15 cm. The volume of the pyramid is..

A: Let B be a base B=72cmLet h be a length of TP h=15cmVolume of pyramid =13Bh=13×72×15=360 cm3

Q: An elliptical culvert is 4.1 feet tall and 8.8 feet wide. It is filled with water to a depth of 1.05…

A: The schematic of the given situation:  The cross-sectional  view of the elliptical culvert.…

Q: The rectangular painting in the figure shown measures 12 inches by 16 inches and is surrounded by a…

A: The rectangular painting measures 12 inches by 16 inches and is surrounded by a frame of uniform…

Q: A rectangle has a perimeter of 30cm. and an area of 54cm2. Find its dimension.

A: Given: A rectangle has a perimeter of 30 cm. and an area of 54 cm2. To Find: Dimensions of given…

Q: The pyramid of Khufu is a regular square pyramid with a base edge of approximately 776 feet and an…

A: Given data: The given base length is b=776 feet. The given height is h=481 feet. The expression for…

Q: A cylinder has a volume of 15000 cm3 and radius =13.4cm. What is the height of the cylinder?

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 8 cm. If the area of…

A: Let we denote a be the width of the poster and b be the hight of the poster.

Q: What is the volume of a square pyramid with base side length of 15 cm and height of 5 cm?

A:

Q: A cone has a volume of 351n Cubic feet and a height of 13 feet. Find the diameter of the cone.

A: Use the formula for volume of the cone.

Q: Find the area of an equilateral triangle with radius 2V3.

A: Known fact: The area of equilateral triangle is given by A=34a2 where a is side length of…

Q: A square pyramid with a side length of 6 inches has volume of 102 cubic inches. Find the height of…

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Q: An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm .Find the area of the…

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Q: An elliptical culvert is 3.2 feet tall and 6.7 feet wide. It is filled with water to a depth of 0.75…

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Q: The height of an equilateral triangle is also the perpendicular bisector of its base. Determine the…

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Q: for each item. A road tunnel with a semicircular arch is 30 feet in diameter. The height of the…

A: Here this a problem related to mensuration of the circle. Based on GUFSA method we will set up the…

Q: A bicycle wheel of radius 24in rotates 570ﾟ how far does the wheel roll

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Q: An open rectangular box with square ends is to be built to hold 392 ft at a cost of Php 75/ft? for…

A:

Q: The length of a rectangle is six rime its width. If the perimeter of the rectangle is 112 m, what is…

A:

Q: A square pyramid with a side length of 6 inches has volume of 102 cubic inches. Find the height of…

A:

Q: The perimeter of a square measures 26cm. What is the length of the side of the square? Sketch model…

A: Given, perimeter of a square = 26 cm Let's assume Side of the square = a We  know in square all four…

Q: A landscaper is laying sod in a rectangular front lawn that is 52 ft longer than it is wide. Its…

A: A landscaper is laying sod in a rectangular front lawn that is 52 ft longer than it is wide. Its…

Q: An elliptical culvert is 3.9 feet tall and 6.5 feet wide. It is filled with water to a depth of 1.45…

A:

Q: (a) An open rectangular box with square ends is to be built to hold 392 ft at a cost of Php 75/ft?…

A: According to question,Given volume,Volume of box = 392 ft3,Cost for build base = 75/ft2,Cost for…

Q: the roof of a house has a shape of a pyramid with a square base of 8m sides. the height of this…

A:

Q: A square has a side length of 22 meters. What is the area of this square?

A: topic - area of square area of square= (side)2

Q: Tito builds a model of the solar system. In his model, the diameter of the sphere representing…

A: Circumference of the circle = 2πr

Q: How many cubic feet of soil must be excavated to make a railroad embankment 200 ft long if a cross…

A: Solve by using mensuration formulas

Q: An open rectangular box with square ends is to be built to hold 392 ft at a cost of Php 75/ft² for…

A:

Q: What is the height of a triangle with area 72 ft² and base 18 ft? Find the perimeter.

A: Given the area of a triangle is 72 ft2 and base is 18 ft.  To find the height and the perimeter of…

Q: 3. A parallelogram with an area of 211.41 m² has a base that measures 24.3 m. Find its height.

A: To find the height

Q: A right triangle has legs of 12 and 5 cm respectively. How much is the product of its three heights

A: We can use mensuration in order to solve the given problem.

Q: A student is making a model of a pyramid. The pyramid must be 24 centimeters tall and have a volume…

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Q: A triangular banner has an area 3645 square feet.  Find the measures of the base and height of the…

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Q: A swimming pool in the shape of a right rectangular prism is 20 mx5 m. If it is 4 m deep throughout,…

A: volume of the pole = length*width*height  1 m3 = 1000 L

Q: The perimeter of a triangle is 102cm and its area is 431.1554cm2. Find the maximum diameter of a…

A: Given: Area of triangle = 431.1554 cm2 Perimeter of triangle = 102 cm We know that the incircle of a…

Q: An open rectangular box with square ends is to be built to hold 392 ft³ at a cost of Php 75/ft? for…

A:

Q: An artist has been commissioned to make a stained glass window in the shape of a regular octagon.…

A: We have an octagon fitted inside a square of side 10 in. It is clear from the figure that x is the…

Q: . The volume of a cylinder is 84r cm². If the height is 21 cm, find the radius.

A: The volume of cylinder is given by   V=πr2h    ... (*)  where V is the volume of cylinder,       r…

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.