A sector of angle 125 is removed from a thin circular sheet of a radius 18cm.It then folded with a straight edge coinciding to form a right circular cone. What are the steps of finding. The base of the cone The semi - vertical angle  The volume of the cone

Q: A square base pyramid and a cube have the same total area. The side length of the pyramid's base is…

A:

Q: 1. Find the exact length of the arc of a circle of radius of 5 inches, subtended by a central angle…

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

Q: A flashlight shaped like a parabloid has its light source at the focus located 1.5 cm from the base…

A: Given that a flashlight shaped like parabloid  has its light source at the focus located 1.5cm from…

Q: A tank with a shape of an equilateral triangle has a side measuring 3 ft.

A:

Q: Two parallel circle with centre x and Y radii of the circle are 20cm and 15cm and if AB is 24cm…

A:

Q: Two regular pentagons each with 6m sides overlapped each other such that the overlapping area is a…

A: Solution is here

Q: 17) A cone has vertical height of 545 cm and radius of 300 cm. Find the slant hight of the cone.

A: Given

Q: Find the dimensions of the right circular cylinder with the largest possible volume that can be…

A: Let 'r' be the radius of right circular cylinder and 'h' be the height of right circular cylinder.…

Q: 5) A patio is in the shape of a circular sector with a central angle of 160.0°. It is enclosed by a…

A: Consider that the patio is in the form of sector with angle 160°, perimeter of the circular path of…

Q: Two vertical poles , 3m and 7m long are on the same straight line with point P on the ground.The…

A: We sketch the situation roughly Given that the shorter pole=RV= 3 m and the longer pole is=TS= 7 m…

Q: The lateral area of a right circular cone is equal to 47.124 cm2 and the ratio of its radius to its…

A: We use the formula of the lateral area of the cone is πr(√(h2+r2)).and solve it . Volume of cone…

Q: 3. During the heat of the day, the 100-foot bridge expands 1 inch. Now, the ends of the bridge are…

A: 3. Given: During the heat of the day, the 100 ft. bridge expands 1 inch. Now, the ends of the bridge…

Q: A wire is looped in the form of a cirde of radius 28 cm. It is re-bent into a square form. Determine…

A: After re bent into square from circle, length of wire remaining same this means perimeter of these…

Q: A rectangular frame is to be divided into 3 and parallel to one of the sides. Find the measurements…

A: The complete solution is in given below

Q: rectangle is 80 cm long and 20 cm wide. Find to the nearest degree, the acute angle formed at the…

A: We have to find the acute angle

Q: Find the central angle θ which subtends an arc of length 2 inches of a circle of radius 24 inches…

A: See below

Q: 5) A frameless painting with a size of 2 meters by 2 meters hangs on the side of a wall where its…

A: We will find inclined angle or trigonometric ratio of inclined angle in terms of single variable and…

Q: A cylinder has a radius of 5 cm. Water is poured into the cylinder to a height of 12 cm. A heavy…

A: Given: A cylinder has a radius of 5 cm. Water is poured into the cylinder to a height of 12 cm. A…

Q: A diameter and a chord intersected inside a circle. The point of intersection divides each of the…

A:

Q: A wire is looped in the form of a circle of radius 28 cm . It is rebent into a square form .…

A:

Q: Imagine a right cylinder with height 10 units. Suppose that the radius of each base is 3 units.…

A:

Q: An isosceles triangle has two equal sides of length 15 inches. Find the angle (apex angle) between…

A:

Q: Find the coordinates of the point on a circle centered at the origin with radius 30 corresponding to…

A:

Q: perpendicular to a segment at its midpoint. 20. Complementary angles are two angles with measures…

A:

Q: A rectangular lot is to be enclosed with a fence. A building is on one side of the lot, so it won't…

A: Length of fencing material available = perimeter of rectangular lot = 600ft.  Let the length be l…

Q: A tank in the shape of a right circular cone is full of water. If the height of the tank is 10 feet…

A: answer is in next step .please give a like !!!

Q: A Ferris Wheel is being built at the park. The Ferris wheel is elevated 1 meter off the ground. Its…

A: Solution is given below:

Q: On the wall of Mr. Piamonte’s house, a picture was hung in 6 meters high, so that its location is 5…

A: The formula for the distance from the observer to the wall, x, so the angle subtended by the picture…

Q: A tent consists of a frustum of a cone capped by a cone. If radii of the ends of the frustum be 13 m…

A:

Q: hemispherical tank of radius 6 feet is positioned so that the base is circular. How much work is…

A:

Q: Two spheres are similar. The ratio of their radii is 2:1.  What is the ratio of their volumes?…

A: Two spheres are similar . The ration of their radii is 2:1 .we find the ratio of their volume

Q: 11. An isosceles trapezoid whose bases have lengths 48 ft. and of 64 ft. is inscribed in a circle of…

A:

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,…

A:

Q: circle has a radius of 1.25 meters. What is the area of a sector of the circle with a central angle…

A:

Q: Find the radius of the base. The lateral area of a right circular cone is 144pi sq. cm. While the…

A:

Q: A cone with height 6 cm and radius 2 cm has a hemispherical hole with radius 1 cm bored into the…

A: Volume of a cone with radius r and height h is V= (πr2h)/3 Surface area S = πr(h1 + r), where h1 =…

Q: A goat is tied outside a silo of radius 10 m by a rope just long enough for the goat to reach the…

A: A goat is tied outside a silo of radius 10 m by a rope just long enough for the goat to reach the…

Q: Find the length of an arc in a circle of radius 10 centimeters subtended by the central angle of 50°

A:

Q: The figure below shows a circle with radius 7.2 m surrounded by four equilateral triangles whose…

A: Given that the circle with radius 7.2 m surrounded by four equilateral triangles whose sides equal…

Q: You have asked your landscaper to create a garden area in an oddly-shaped of your back yard.…

A: To find the area of your new garden

Q: A rectangular lot is to be enclosed with a fence. A building is on one side of the lot, so it won't…

A:

Q: Two small circles tangent to each other are inscribed in a rectangle. A bigger circle is…

A: Let the radii of the small incscribed circles be r. The area of a circle with a radius r is A=πr2.…

Q: Find the radius and height of the right circular cylinder of largest volume that can be inscribed in…

A: Here we use formula : volume of right circular cylinder=πr2h right circular cylinder inscribe in a…

Q: e base of a solid is the circle x2+y2=36. Find its volume if every section perpendicular to a fixed…

A: Given, the base of a solid is the circle x2+y2=36.

Q: A frustum of a cone whose top and bottom radius are 8m and 12m, respectively. The height of the…

A:

Q: The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 2 cm and 8…

A: Let the right-angled triangle be triangle ABC where AB is the hypotenuse, ∠ACB is the right angle…

Q: In the diagram, a sector of a circle of radius 12 cm is shaded. The area of the sector is 112 cm ².…

A: Given data:- Radius of circle, r=12 cm Area of sector, A=112π cm2

Q: Three circles of radius 1 unit fit inside a square such that the two outer circles touch the middle…

A: From the image it is clear that there is a right triangle can be formed using the radius of the last…