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In this problem we will use the line segment PQ where P 1 3 and...

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Geometry

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In this problem we will use the line segment PQ where P 1 3 and Q 3 7 a Find the length of the line segment PQ using i the distance formula ii integration with respect to z iii integration with respect to y b Create a frustum of a cone by rotating the line segment PQ about the z axis Find the surface area of the resulting frustum of a cone by using i the surface area formula for a frustrum of a cone ii integration with respect to z iii integration with respect to y c We now create a frustum of a cone by rotating the line segement PQ about the line y 1 Find the area of the resulting frustum using i the surface area formula for a frustrum of a cone Explain what changes compared to b i and what stays the same ii integration with respect to z iii integration with respect to y Hint draw the frustum and find its dimensions

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