A right circular cone of slant height 10 in. has a radius of 4 in. Find the angle of the sector of a circle of radius 10 in. which area is equal to the lateral area of the cone.

Q: Given the lateral surface area of a right circular cylinder which is 54n cm² and its height is 9 cm,…

A: The lateral surface area is given as 54π cm2 and height h is given as 9 cm. The lateral surface area…

Q: What is the surface area of a cone with a radius of 3 meters and a slant height of 4 meters? Round…

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Q: A sector has an area of 220 sq. in and a radius of 20 in. Determine its central angle.

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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: 4 Find the area of the segment enclosed by chord [BC] and the subtended arc with radius 4 cm and…

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Q: Find the area of a sector with central angle 2pai/3 rad in a circle of radius 10 m.

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Q: The popcorn containers at a movie theater are in the shape of cones.Suppose a popcorn container has…

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Q: A cylindrical can has a radius of 5inches and a height of 7inches . A rectangular prism has the same…

A: cross section area of cylinder

Q: A cone was formed by rolling a thin sheet of metal in the form of a sector of a circle 72 cm in…

A: The volume of the cone can be obtained using the formula V=13πr2h. Here, r is the radius of the base…

Q: Find the lateral area of each pyramid to the nearest whole number. (SHOW ALL WORK) Calcula el área…

A: To find the lateral area of the square pyramid

Q: Find the mid-section area of the prismatoid if its volume is 1200 cm3 the height is 18cm, the lower…

A: The volumeV=h6·U+4M+L of the prismatoid is

Q: A wooden article was made by scooping out a hemisphere from each end of a solid cylinder as shown in…

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Q: For an aluminum can, the lateral surface area is 127 in?. If the length of the altitude is 1 in.…

A: Here, the aluminium can is in cylindrical shape.Let,Height of the can = hRadius of the can = rGiven…

Q: If the surface area of cone D is 55Tt, and the distance s between the cone's tip and a point on the…

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Q: If the surface area of a right angle cone A is 48Tt, and the distance from the tip of the cone to a…

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Q: Find the radius of a sphere with a surface area of 441 in, Radus in.

A: Given that, Surface area of a sphere is = 441π in2 And we have to calculate the radius of the…

Q: The sphere and cone have equal volumes. 8 in. 4 in. What is the height of the cone? (Note: The dra

A: We have to find the height of cone.

Q: The radii of parallel circular sections of a sphere are 4 in and 4.8 in, while the radius of the…

A: Here we are given ,    r1 = 4    , r2=4.8   and R =5To find h:  O: Centre of sphere⊙ AO  = OD =…

Q: A sector of a circle of radius 14 mi has an area of 294mi? then the central angle of the circle is…

A: Given: r=14  miArea=294  mi2θ=?

Q: A cone was created by rolling a thin sheet of metal into the shape of a 72cm diameter sector of a…

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Q: A cone is to be constructed from a sector having a diameter of 72 cm and a central angle of 150°.…

A: given  diameter = 72 cm central angle =150°   to find volume in cubic cm of resulting cone hint…

Q: A circular piece of cardboard with a diameter of 1 m will be made into a conical hat 40 cm high by…

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Q: For concentric circles with radii of lengths 3 in. and 6 in., find the area of the smaller segment…

A: Given: Radii of concentric circles: 3 in. and 6 in. Here AB is the tangent to the smaller circle.…

Q: Two circles have radius of 4cm and 12 cm respectively. If the distance between their centers is 30…

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Q: The length of arc AB of a circle with center at O is equal to twice the length of the radius r of…

A: Let's first sketch the figure for this question:…

Q: The radii of parallel circular sections of a sphere are 4 in. and 4.8 in., while the radius of the…

A: Given that , r=5 , r1=4 , r2=4.8  find total surface area between circular sections.

Q: Each of the three congruent circles of radius equal to 3 cm is tangent to the other two. Find the…

A: The length of sides of ∆ABC is calculated as follows:

Q: Find the mid-section area of the prismatoid if its volume is 1200 cm2 the height is 18cm2 , the…

A: Volume of prismatoid is given by  V=16hA1+M+A2 where h denotes the height of prismatoid, A1 is the…

Q: Find the area of a sector that is intercepted by a central angle of 150° in a circle of radius 12 m.

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Q: A spherical wedge is cut with a central angle of 45° and has a volume of 120 cu cm. What is the…

A: Solution:Given ;Wedge angle =θ =45°volume of spherical wedge =120cm3radius of sphere =r=?we know…

Q: Find the area of a sector with central angle 4π/5 rad in a circle of radius 8 m.

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Q: The area of the sector of a circle has a central angle of 45° and a radius of 7 cr o 7T square cm 8…

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Q: A right cone whose base diameter and perpendicular height are 18cm and 8cm respectively is made to…

A: A right cone whose base diameter and perpendicular height are 18cm and 8cm respectively is made to…

Q: Find the altitude of the zone whose area is 240π in2 if the radius of the corresponding sphere is 12…

A: We have to find the altitude of the zone whose area is 240π in2 if the radius of the corresponding…

Q: Find the lateral area of this square based pyramid. 10ft 10分 [? ]ft?

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Q: Gabi makes a circular pizza and cuts it into 8 equal slices.  If the area of the sector of one slice…

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Q: The chapter is about other area relationships in a circle such as sector and segment perimeter and…

A: Given that the concentric circles with radii of length 3 inch and 6 inch.   Draw the diagram of the…

Q: An engineer is asked to design a water sprinkler that will cover a field of 100 square yards that is…

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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: A cone has vertical height of 36 cm and slant height of 49 cm. 22) Find the radius of the cone.

A: Given A cone has a vertical height of 36 cm and a slant height of 49 cm. We have to find the radius…

Q: A grain silo is formed by attaching a hemisphere to the top of a right circular cylinder. If the…

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Q: The perimeter of the circular sector with radius 18 cm and central angle 120 degrees is

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Q: A sector of a circle of radius 14 mi has an area of 196mi? then the central angle of the circle is…

A: Given : A sector of a circle of radius 14 mi has an area of 196 mi2.   To find the central angle…

Q: Find the lateral area of a right circular cone that has a radius of 15 ft, and a slant height of 25…

A: It is known that the lateral area of the right circular cone is defined as Lateral…

Q: Find the volume of a cone to be constructed from a sector having a diameter of 72 cm and a central…

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Q: Whats the radius and height of a cone with slant height of 14.4cm and a curved surface area of…

A: Topic :- geometry

Q: A sector with a central angle measure of 200° has a radlus Ass INT Ass r = 9 cm 0 = 200° MY Co MY…

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Q: Find the area of a sector with a central angle of 160° and a dlameter of 8.6 cm. Round to the…

A: We have to find area

Q: The popcorn containers at a movie theater are in the shape of cones. Suppose a popcorn container has…

A:

Q: A circular sector has a radius of 20in and an angle of 120O . If this sector is cut out of paper and…

A: Radius of circular sector = 20 inches.…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.