Q6: A right triangle whose hypotenuse is v3 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: 2 = √x²+y²² with cone +2=4 Find the volume between the spheres. draw the shape. x²₁y² +2²=2

A: We need to find the volume between the cone z=√(x^2+y^2) and the sphere x^2+y^2+z^2=4

Q: A waterway in a theme park has a semicircular section with a diameter of 11ft.The boats that are…

A: Given that, The depth of water is 4.5 feet. The diameter is 11 feet. The lower depth of boat is 3.5…

Q: Mr. Yang's rugby team is facing the fighting bees next week. For the equation (x^2/a^2)+(y^2/b^2)=1…

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Q: An оpen box is to be made from a 6 ft by 16 ft rectangular cardboard by cutting out equal squares…

A: We can find the maximum volume of the box as below

Q: An equilateral triangle is placed above a rectangle creating a window. There is 40 ft of materials…

A: Suppose that one side of rectangle “x” ft and other side is “y” ft.   Since “x” is also side of…

Q: A trapezoid has sides where AB and CD are paralells. BC =2 square root 2 m, CD = 6m and angle B is…

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Q: What is the maximum volume of a cone that would fit this box?

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Q: A certain parabolic monument has a base that is a parabola ( y=−.5x2+8y=−.5x2+8 ) And a front…

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Q: What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 14…

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Q: What dimensions will maximize the lateral surface area of an inverted cone, if V = 27 cm³?

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Q: parabolend=

A: I answered your Question of double integration. I hope u will be benefited from my solutions thank…

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.…

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.