The diameter of the base of a right circular cone is equal in length to the slant height. If the height of the cone is 6 cm, find the length of the radius of the base.

Q: If the area of a trapezoid is 164 ft? and the bases are 20 ft and 12.8 ft, what is the height of the…

A: We know the area of trapezium is 12sum of parallel sides ×(Distance between them)

Q: A water storage tank is an upside-down cone, as top is 12 feet and the length of the sloping side is…

A: By using Pythagoras theorem and volume of a cone formula, we calculate the required volume.

Q: A trapezoid has an area of 72 cm2. If the altitude has a length of 6 cm and one base has a length of…

A: To Determine: A trapezoid has an area of 72 cm2. If the altitude has a length of 6 cm and one base…

Q: if the length of the minor arc is 3cm and the radius is 10cm, calculate the angle at the center of…

A: Here we have to find the angle at the center of the circle of radius 10cm and by an arc length of…

Q: A cone has a surface area of 200n square inches. If the radius of the cone is 10 inches, find the…

A: Given that Surface area and radius of base of cone are

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

A:

Q: What is the radius of a cylinder if the height of the cylinder is 5cm at the bottom and 6cm at the…

A: Given:      Height of cylinder at the bottom =5 cm      Height of cylinder at the top  =6 cm…

Q: A right triangle contains 38° angle whose adjacent side measures 10 centimeters. What is the length…

A: We can solve it by property of right angle triangle.

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: what is the area of the entire figure?

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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: The distance from home plate to the fence in dead center at the Oak Lawn Little League field is 280…

A: Given: The distance from home plate to the fence in dead center at the Oak Lawn Little League field…

Q: a quadrilateral is inscribed in a circle such that one of its sides coincides with the diameter. If…

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Q: A right cone has a base diameter of 8 in. and a volume of 259 cubic inches. Determine the slant…

A: Given the diameter and volume of a right cone. We need to find the slant height.

Q: A cone has a radius of 10 cm and a height of 24 cm. What is the slant height?

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Q: .Into a circle of radius 82 inches is an inscribed square, to that square is an  inscribed circle,…

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Q: The angle of inclination from the base of the John Hancock Center to the top of the main structure…

A: Given that, The angle of inclination of the Willis Tower is 10.3°. The height of the Willis Tower is…

Q: If the length of the radius and the height of a right circular cylinder are both doubled to form a…

A: Let the initial radius and height of the cylinder be R and H respectively.

Q: The length of the latus rectum is called __________ the diameter.

A: The line segment that passes through the focus and is parallel to the directrix is called the latus…

Q: If the circumference of the circle is equal to 144 cm, find the length of the solid arc. 140

A: solve the following

Q: If the radius of one circle is 6 times the radius of another, what is the ratio of their areas? Of…

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Q: A circle has an arc whose measure is 80° and whose length is 88? cm. What is the diameter of the…

A: solution:-

Q: If a right triangle has a hypotenuse that measures 31.1 m, and one of the legs measures 19 m, how…

A: We have to solve the problem by pythagorus law.

Q: The side of a regular pentagon is 25 cm. If the radius of its inscribed circle is 15 cm, find the…

A: Let's find.

Q: If the radius of a circle is 9 in., find the radius of a circle whose area is 6 times as large.…

A: To Determine: If the radius of a circle is 9 in., find the radius of a circle whose area is 6 times…

Q: If the circumference of the circle is 473T ft, how long is the radius of the circle?

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Q: If a tire rotates at 400 revolutions per minute when the car is traveling 72km/h, what is the…

A:

Q: If a right triangle is formed by the placement of three squares, what is the area of the shaded…

A: Given that three squares are arranged such that a right angled triangle PBD is formed. We need to…

Q: If a parabolic reflector of an automobile head light is 12 in. in diameter and 4 in. deep, what is…

A: To determine the area of the reflector of the headlight, lets consider the vertical cross section of…

Q: In a circle whose radius has length 9m, the length of an arc is 5π m. what is the degree measure of…

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Q: THe radius of a conical tent is 7 m and its height is 10 m .Calculate the length of canvas used in…

A:

Q: If the height of a cone is 15 cm and its volume is 770 cu.cm; find the radius of its base

A: Consider that the volume of cone of height 15 cm is 770 cm3.  Find the radius of its base.   Volume…

Q: The radius of the base of a riught circular cone is 2m and its height is 3m. What is the slant…

A: The redius of the base of a right circular cone is 2m and its height is 3m .then we find the slant…

Q: A circle has a radius of 10 cm. How far from the center is a chord that is 7 cm long?

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Q: An architect designed a semicircular tunnel so that two trucks can pass each other with a 3-foot…

A: Let radius of semicircular tunnel be r, then its diameter will be 2r. Given: Height of truck=12…

Q: A trapezoid has an area of 96 cm?. If the altitude has a length of 8 cm and one base has a length of…

A: Trapezoid: Assume that the length of the altitude between the two bases be h=8 cm, Length of the one…

Q: A drawbridge that is 104 ft in length is raised at its midpoint so that the uppermost points are 8…

A: Given, L=1042=52, x=8 if its raised from midpoint then horigontal distance: D=52-4D=48 now find…

Q: If the minute hand of a clock has a length of 6 inches, how far does its tip travel in 18 minutes?

A: The minute hand of a clock has a length of 6 inches

Q: What is the radius of a circle with a circumference of 32 ft?

A: Formula for finding the circumference of a circle with radius r is ,         Circumference= 2πr In…

Q: A vertical pole is to be supported by a wire that is 26 feet long and anchored 24 feet from the base…

A: Given that: A vertical pole is to be supported by a wire that is 26 feet long and anchored 24 feet…

Q: A circle has a diameter of 14 ft. If the area is tripled, what happens to the circumference.

A: Explanation of the answer is as follows

Q: If the diameter is 22, what is the radius?

A: Given diameter = 22radius = ?

Q: Find the area of an equilateral triangle with an apothem having a length of 4 feet. Round to the…

A: The area of equilateral triangle with an apothem having a length of 4 feet is 83.1 feet2 The answer…

Q: 2. If the slant height of the cone is 16 cm and the total area is 120t sq. cm., find the height of…

A: Let's find.

Q: A drawbridge that is 178 feet in length is raised at its midpoint so that the uppermost points are…

A: Let us draw the image in following way: We will apply Pythagoras theorem to find the height of the…

Q: In a circle whose radius has length 12 m, the length of an arc is 67 m. What is the degree measure…

A: Arc length =2πrθ360

Q: From the point inside the square the distance to three comers are 4, 5, and 6 cm respectively. Find…

A:

Q: On a circle of radius 6 feet, what angle would subtend an arch of length 7 feet

A: Given the length of the circle is r=6 feet the length of the arc of the circle is S=7 feet Let θ be…

Q: If the circumference of the circle is equal to 108 cm, find the length of the solid arc. 150°

A:

Q: A 13 foot ladder leaning against a building meets the side of the building exactly 12 feet above the…

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