A scoop used to measure powdered drink mix is in the shape of a cone with a radius of 5 cm.     What is the height of the scoop if its volume is 75π cm3?

Q: The altitude drawn to the base of an isoceles triangle is 8 cm and the perimeter is 32 cm .find the…

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Q: Solve for the area of the unshaded section of the given square. If the diameter of the semi-circle…

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

A: We have,

Q: A farmer with 800 fcct of fencing wants to cnclosc a rcctangular arca and then subdivide it into 3…

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Q: Use the apothem and perimeter to find the area of a regular hexagon with side length 12 feet. Round…

A: Use the apothem and perimeter to find the area of a regular hexagon with side length 12 feet. Round…

Q: The surface area of a sphere inscribed in a regular tetrahedron is 144 pi cm^2. What is the radius…

A: Given problem:- The surface area of a sphere inscribed in a regular tetrahedron is 144 pi cm2 What…

Q: A spherical tank has a capacity of 750 gallons. Using the fact that one gallon is about 0.1337 ft3 ,…

A: Given Data The volume of spherical tank is V=750 gallons.   The expression for the volume of the…

Q: A regular octagon is inscribed in a circle with a diameter of 16 in. What is the perimeter of the…

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Q: what is the  area of a regular pentagon is the radius is 13mm

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Q: The area of the base of a right circular cone is 441A cm2. If the slant height is 29 cm, find the…

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Q: A meteorologist needs to launch a weather balloon that is roughly spherical. How many ft3 of helium…

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Q: 3. In circle O, diameter AB = 3x + 11 and diameter CD 5x - 23. Find the length of a radius.

A: Diameters of the circle O: AB = 3x + 11 CD = 5x - 23    radius = ?

Q: A spherical ball with a radius of 10 cm is full of water. If the water from the spherical ball is…

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Q: An oil tank in the shape of a sphere has a diameter of 60 ft. How much oil does the tank contain if…

A: Given a spherical tank. Its diameter and depth are given. We need to find how much oil the tank can…

Q: A car tire has a diameter of 65 cm if the car will rotate once per second how far does the car…

A: 1 minute=60 seconds car travels π D in one rotation.Here D is the diameter

Q: What is the height of a circular cone having a slant height of v(10x ) and a base diameter of 2x?

A: To find: The height of the circular cone. Given: The slant height of the cone is 10x and base…

Q: factory designs cylindrical cans 10cm in height to hold exactly 500cm​3​​ of liquid. Which of the…

A: Given query is to find the radius of the can.

Q: Find the largest trapezoid that can be inscribed in a circle with a radius of 5 cm so that its base…

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Q: The apothem of a regular hexagon is 5V3 in. Find one of its sides and the area.

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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: An isosceles right triangle has a hypotenuse of length 10 cm. How long is each leg?

A: In a right triangle, the relation between legs a and b and hypotenuse h is states as follows:…

Q: One part of a quartz crystal is a hexagonal prism with a right section of 1.29 sq. in., an edge of…

A: Formula Used: Volume of hexagonal prism = altitude × Area of base Volume of hexagonal prism = Area…

Q: The area of a right triangle whose sides have lengths 5 in., 12 in., and 13 in. is exactly 30 in?.…

A: The area of right triangles having sides 5 in., 12 in. and 13 in. is exactly 30in2. To Evaluate The…

Q: A prism with a height of 5 cm is inscribed in a cylinder. If the base of the prism is in the form a…

A: The volume of a cylinder is given as follows: Volume of cylinder=πr2h

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

A: Solution )

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

A: Given, A cuboidal box of dimension 1m×2m×1.5 m is to be painted expected its bottom  . we have to…

Q: A cone has a volume of 108 pi and a base diameter of 12. what is the height of the cone?   This is…

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Q: A triangular prism has the dimensions shown. 12 ft 3 ft What is the length x if its volume is 72…

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Q: A cylinder with radius 7 feet and height 12 feet is shown.

A: Our Aim is to tell the volume of cylinder having radius 7 feet and height 12 feet.

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

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Q: Find the distance around a figure that is composed of a rectangle and two semicircles. 100 yds by…

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Q: find the area of the formula of two concentric circle whose radii are 5 inches and 3 inches

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Q: When a right angle is rotated about one leg, the volume of the cone produced is 800 cm³. When the…

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Q: Find the area of a regular hexagon, whose apothem has length 9 inches.

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Q: 2 ft,

A: Redrawing the given Octagon as shown in the below figure                               We know that…

Q: Find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long. Round…

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Q: Find the height of a cylinder if the surface area is 402 square units and the diameter is 15 ubits.

A: Let the height is= h Given that the diameter= 15 units So the radius= r=152=7.5 units

Q: Find the length of the radius in a regular decagon for which each apothem has a length of 12.5 cm.

A: Given that, the length of apothem in a regular decagon is 12.5 cm. Now, since the regular decagon…

Q: The area of a triangle inscribed in a circle having a radius 9cm9cm is equal to…

A: We have to find other side of the triangle.

Q: A right triangle with area 2 square units is inscribed in a circle. If the center of the circle lies…

A: Given that, A right triangle with an area of 2 square units is inscribed in a circle. The center of…

Q: A cone has a radius of 5 and a height of 11. What is the volune?

A: Volume of cone =13πr2h where r is the radius of cone and h is the height of the cone.

Q: The floor of a gazebo has the shape of a regular octagon with side length 1.2 m and is made of cight…

A: Topic:- geometry

Q: A circle with radius of 1cm sits inside a 3cmx3cm rectangle. What is the area of the shaded region?

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Q: The section is about polyhedrons and spheres The chapter is on surfaces and solids   Thanks!

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Q: Find the dimensions of a cylinder that can fit into a hemisphere of radius 10 inches.

A: Let there is cylinder with radius r and height h that be fit in a hemisphere of radius 10 inches.…

Q: The diameter of a circle is 16 in. Find its area in terms of π

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Q: Suppose you filla conical paper cup with a height of 6" with water. If all the water is then poured…

A: Given, height of cone= 6 inches

Q: A circular fountain has a diameter of 7 meters. The statue in the middle has a diameter of 2 metem…

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Q: The surface area of a cone is 550 square units. The radius of the base is 5 units. What is the slant…

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