A right triangle whose hypotenuse is 15 m long is revolved about one of its legs to generate a right circular cone. Find the radius, height, and volume of the cone of greatest volume that can be made this way.

Q: hole of radius 2√3 inches is bored through the center of a spherical shaped solid of radius of 4…

A: Formula: Volume of cut out, V=4π3R2-r232 where R= Radius of the spherical shaped solid and r=Radius…

Q: Find the total surface area of the cone whose radius is 70 meters and slant height is 10 meters.

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Q: Find the volume of the largest cylinder that can be inscribed in a right circular cone of radius 3…

A: Solution

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: Find the dimension of the largest cylinder that can be inscribed in a cone of a height 8m and radius…

A: Consider the following figure Let r and h be the radius and height of the inscribed cylinder.…

Q: Calculate the volume of a water cylinder with total height of 10 meters, diameter of 400…

A: Radius of cylinder = Radius of Hemisphere = R = Diameter2 = 4002 = 200 cmTotal Height of container =…

Q: Find the increase in volume of a sphere if its radius is increased from 3 ft to 4 ft.

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Q: A delivery company only accepts packages whose length plus girth is less than 240 centimetres where…

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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.