1.)the volume of a cylindrical water tank varies jointly as the square of the radius and the height. The volume of the cylindrical water tank with radius 5 centimeters and height 9 centimeters, is 180r square centimeters. find the volume of another cylindrical water tank with radius 7 centimeters and height 10 centimeters.
2.) The centripetal acceleration a of an object varies directly as the square of it's velocity v and inversely proportional to the radius r of the circle. The centripetal acceleration of the object is 45cm/s^2 with a velocity of 6cm/s and a radius of 4cm. what is the centripetal acceleration of the object if the velocity is 4cm/s and the radius is 5cm?
2.) The centripetal acceleration a of an object varies directly as the square of it's velocity v and inversely proportional to the radius r of the circle. The centripetal acceleration of the object is 45cm/s^2 with a velocity of 6cm/s and a radius of 4cm. what is the centripetal acceleration of the object if the velocity is 4cm/s and the radius is 5cm?
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Answer: 1. In geometry, a cylinder is a three-dimensional shape with a circular base, a circular top and straight sides. It is the solid figure that you get when you rotate a rectangle about one of its sides. In most cases when we talk about the volume of a cylinder, we are talking about how much liquid it can hold.
The strictly correct way of saying it is "the volume surrounded by a cylinder" - the amount of liquid it holds. But many textbooks simply tell "the volume of a cylinder" to mean the same thing.
2. The direction of centripetal acceleration is toward the center of curvature, but what is its magnitude? Note that the triangle formed by the velocity vectors and the one formed by the radii r and Δs are similar. Both the triangles ABC and PQR are isosceles triangles (two equal sides). The two equal sides of the velocity vector triangle are the speeds v1 = v2 = v. Using the properties of two similar triangles, we obtain
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