1. A water tank is the shape of an inverted right circular cone with a diameter of 10 m and a slant height of 13 m. (Hint: You need to create similar triangles to find the radius) 10 m 13 m 8 m Suppose the tank is filled with water to a depth of 8 meters. Calculate the volume of water in the tank. Round your answer to 3 decimal places.

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A: From the image we see that the base is a octagon with side length=a=10 mmSo, P=perimeter of the…

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A: Recall:  Formula for lateral area(LA) of equilateral triangular prism is,      LA=3a22+3(a×h) We…

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Q: What is the base area, lateral area, and surface area for this figure?

A: The figure is as shown : a2+b2=c2=>a=c2-b2=>a=172-15.42=>a=7.2 ∴ Length of side of base…

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A: The solution are next step..

Q: 5. Find the SURFACE AREA of the pyramid below. Round to the nearest hundredth if necessary.

A: surface area = side2 + 2*side*height

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.