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## Related Calculus Q&A

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Q: 11. Derive the formula for the total surface area of a right circular cone with radius r and…

A: To find the formula for the total surface area of a right circular cone with radius r and height h.

Q: Let V be the volume of a pyramid of height 20 whose base is a square with side length 8.

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Q: Given a sphere with radius r, ﬁnd the height of a pyramid of minimum volume whose base is a square…

A: Draw a figure from the given information, a sphere with radius r the base of the pyramid is square,…

Q: 1. Show that the volume ofa parallelepiped with sides A. B and C given by A (B x C)

A: As per our guidelines we are supposed to solve only one question i.e. the question no 1. For the…

Q: Two cubes whose edges measure 3 cm, 4 cm and 5 cm respectively to form a sing le cube.Find its…

A: As three side lengths are given some there are three cubes form a single cube. Here, simply equate…

Q: For the right triangular prism found in Exercise 16, suppose that the sides of the triangular base…

A: Given that : For the right triangular prism, the sides of the triangular bases measures 3 ft , 4 ft…

Q: Find the volume of the Sphere 5 m¸-

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Q: 2. John is building furniture using cylindrical logs of length 1.8 m and radius 9.2 cm. A wedge is…

A: Given

Q: 1. Supposed that you will use a cuboid made of cardboard with a volume of 60cm³. Find the area of…

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Q: 37. Find the surface area of the right trapezoidal prism (whose dimensions are measured in units)…

A: To find: Surface area of the given trapezoidal prism. Given:BC = FG = 9 unitsCD =GH = 5 unitsCG = DH…

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Q: 9. Suppose that each of the bases of the hexagonal prism in Exercise 1 has an area of 12 cm2 and…

A: 9. The formula for the volume of a regular prism is given as follows:

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Q: Find the exact volume of a sphere whose length of radius is 1.5 in.

A: Formula v=43πr3

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Q: Which set of dimensions belongs to a right rectangular prism with a volume of 440 cm3?

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Q: Two identical spheres are placed so that one is on top of the other inside a right circular cylinder…

A: This question is related to cylinders and spheres, we will solve it using given information.

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Q: What is the surface area of a right regular hexagonal prism with a base length of 10 meters, an…

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Q: A square right regular pyramid is formed by cutting, folding, and gluing the pattern to the right.…

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Q: Find the total surface area of the right triangular prism. 10 in 8.6 in 5 in OMoneuvering the Middle…

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Q: (3) Find the volume of a square pyramid with base side length 6m and height 8m? (Be careful with…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: Find the volume of a sphere pyramid of height "h" and base edge of length "a"

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Q: Find the volume of the torus generated by revolving the circle (x - 2)2 + y2 = 1 about the y-axis.

A: To determine the volume of the torus generated by revolving the circle.

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Q: (a) How do you find the area of the parallelogram determined by a and b?(b) How do you find the…

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Q: A sphere is designed to have a volume of 500 cm3, to the nearest 10 cm3. Find the boundaries…

A: Volume of sphere=43πr3If V is to be rounded off to 500, to the nearest 10,then, minimum value of V =…

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Q: ind the volume of the solid whose base is a triangle with vertices (0, 0), (0, 5), and (5, 0).…

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Q: e) The square of the area of the parallelogram spanned by u and v is f) The volume of the…

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Q: 1. Imagine the plumb bob as a perfect cone, compute for the volume of steel needed to make the cone…

A: use the formula for volume of cone .

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Q: 11. Find the volume of the given right tetrahedron. (Hint: Consider slices perpendicular to one of…

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Q: Determine the volume of a frustum of a regular hexagonal pyramid if the base edges are 13 m and 37…

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Q: 3. The base of a right regular hexagonal prísm has a perimeter of 36 cm and a volume of 396v3 cm³.…

A: Given that, The perimeter of base of a right regular hexagonal prism is 36 cm. The base of the…

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Q: Find the volume of the torus (donut) with radii r and R as shown in the figure.

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Q: 7) Find the volume of the resulting shape when the shaded area given below is rotated 2 Tt around y…

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Q: Given that a right cireular cylinder is inscribed within a sphere, what is the least possible volume…

A: Given: A right circular cylinder is inscribed within a sphere with the radius r as given in the…

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Q: 1. Derive the formula for the total surface area of a right circular cone with radius r and altitude…

A: The right circular cone can be drawn as,

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Q: 2) Far a veqular squave pyraid, suppese that the altitade has a ueasuve equal to that of the edges…

A: Click to see the answer

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Q: 33. A sphere has a volume equal to in'. Determine the length of the radius of the sphere. (Use -

A: Given, Volume of sphere = 99/7 in.3

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Q: 5. Find the lateral area, surface area and volume of the right triangular prism below. LA. The net…

A: The surface area of right triangular prism is given by the formulaS.A.=bh+l(b+h+d) . Here, b is the…

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Q: Let V be the volume of a pyramid of height 15 whose base is a square of side 5. 5

A: Solution: we can find a similar triangle to determine the length L of the square cross-section at…

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Q: A sphere is cut by two parallel planes 3 cm apart, in such a way that the radius of the upper…

A: Given , A sphere is cut by two parallel planes 3 cm apart, in such a way that the radius of the…

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Q: Find the area of the circular washer with outer radius 2 and inner radius 1, using (a) Fubini’s…

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Q: 8.7 15 10 14. What is the Surface Area of this EQUILATERAL TRIANGULAR based prism? What is the…

A: Given problem:-

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Q: Refer to figure and find the volume generated by rotating the given region about a specified line.…

A: After rotating region R2 about line BC, it will look like

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Q: 21. What is the exact volume of a sphere whose diameter is 14 cm? Show your work.

A: We will solve the following.

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Q: 3. Find the radius, height and EXACT volume of the right cylinder formed by the net (flat pattern)…

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Q: A.cone,301.6 B.sphere,904.8 C.cylinder,301.6 D.cone,904.8

A: Click to see the answer

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Q: Two similar cones have volumes 12π and 96π. If the lateral area of the smaller cone is 15π, what is…

A: since the cones are similar so l1l2 = r1r2 the the volumes are v1=12π unit3 , v2=96π unit3 so curved…

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Q: Two identical spheres are placed so that one is on top of the other inside a right circular cylinder…

A: topic - volume of cylinder

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Q: A section of a sphere is described by 0 < R <1, 0 <0 <67°, and 14°< ¢ <84°. Find the enclosed…

A: Given: A section of a sphere is described by 0≤R≤1, 0≤θ≤67°, 14°≤ϕ≤84° To find the enclosed volume.

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Q: If a cone has a SA (Surface Area) of 25 and its dimensions are doubled what is the new SA?

A: The surface area of a cone is given by the expression A=πrr+h2+r2. Here, r is the radius of the cone…

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Q: Determine the dimensions of the rectangle of largest area that can be inscribed in a semicircle of…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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Q: 1. Apply the slicing method to find the volume of a pyramid with height hand base an equilateral…

A: In this question, the volume using integration is applied. Integration Integration is a method of…

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Q: A circular sector has a radius of 20in and an angle of 120O . If this sector is cut out of paper and…

A: Radius of circular sector = 20 inches.…

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