a) Sketch the curve and find the total area between the curve and the given interval on X-axis. x?-1 ii) y = 2).

Q: Find the volume of the cap of a sphere of radius r and height h for h < r.

A: The equation of the sphere with radius r is x2+y2+z2=r2. Determine z2 from the equation of sphere.…

Q: Derive (1) from the formula S = arl for the surface area of a cone with slant height / and radius r.…

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Q: Find the total surface area of this cone. Leave your answer in terms of r. 24in 10in

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Q: Find the volume of the torus generated by revolving the region bounded by the graph of the circle…

A: given x-112+y2=1 claim- to find the volume of torus generated by revolving the region bounded by the…

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A:

Q: The radius of gyration of the area :shown about the x axis is Y 6 4 304 1.73 3.

A:

Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as…

A: Given: To find the area of the pool

Q: 5. Use the Pappus Theorem to find the volume of the solid formed by revolving the region enclosed by…

A: In this we find the volume of the solid by using pappus theorm.

Q: 2. What is the volume of the cone with radius 6 m and height 12 m? Express the answer in terms of r.…

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Q: Find the volume of a sphere with a surface area of 2304a in The volume is in. (Type an exact answer…

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Q: ind the volume of the solid whose base is a circular disk of radius R, centered at the origin and…

A:

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

A: Given: (x-2)2+y2=1

Q: Find the volume of the torus generated by revolving the region bounded by the graph of the circle…

A:

Q: C. Find the approximate Change in The volume of a circutar cone of base radis r and height h, by…

A:

Q: The widths (in meters) of a kidney-shaped swimming poolwere measured at 2-meter intervals as…

A: The widths (in meters) of a kidney-shaped swimming poolwere measured at 2-meter intervals as given…

Q: Find the volume of liquid needed to fill a sphere of radius R to height . R y

A:

Q: Find the surface area of each cylinder in terms of T. Encuentra el área de la superficie de cada…

A: Given: A cylinder is given. To Find: Surface area of the cylinder

Q: The volume of the lateral surface area nd the total surface area of each regular pyramid

A: The answer is given below:

Q: Which is a possible cross section of a cylinder?

A:

Q: Find the volume of the cone. Either enter an exact answer in terms of T or use 3.14 for T. units

A: Given,           Radius of cone (r) = 5 unit           Height of cone (h) = 6 unit           Volume…

Q: 4. What type of segment is TR in the diagram below? 15 cm 14 cm 8 cm R 8 cm altitude O median O…

A: R is the point on QS, which is bisecting QS. (as QR = RS = 8cm) T is the vertex opposite to QS. If…

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…

Q: The radius length of the base of a right circular cylinder is 6 in. The height of the cylinder is 10…

A: a) The formula of the lateral area of the right circular cylinder is, AL=2πrh where r is radius and…

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A:

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: ind the volume of the solid that results when the region enclosed by = y and x = y is revolved about…

A: Given query is to find the volume of the solid generated.

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A:

Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 6-meter intervals as…

A: We are given the width of the pool with 6 meter intervals, so we can write the given values in the…

Q: Two similar trapezoids have areas of 180 cm2 and 45 cm2. What is their ratio of similarity? O A. 1:2…

A: Solve for ratio

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A:

Q: 1. Let V be the volume of a pyramid of height 20 whose base is a square of side 8. (a) Use similar…

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Q: 11. In the surface to surface volume computation of the small area on campus in lecture, how many…

A: We have to answer following Questions.

Q: Find the volume of liquid needed to fill a sphere of radius R to height h = R.

A: answer is in next step. please give a like!!

Q: Find the volume of the torus obtained by revolving the circle x^2 + y^2 = 4 about the line x = 3.

A: Find the volume of the torus obtained by revolving the circle x^2 + y^2 = 4 about the line x = 3.

Q: Show that the volume of a sphere of radius r is V = 4/3 pie r 3

A:

Q: Find the volume.

A:

Q: 35. Find the volume of the “torus" (Figure 3), obtained by rotating the circle (x – a)? + y? = 6² (a…

A:

Q: The base of a right prism is a triangle whose sides have lengths of 9 in., 15 in., and 12 in. The…

A: Given that the sides of the bases of a right prism are of lengths 9 in., 15 in. and 12 in. The…

Q: (3) Find the volume of a frustum of a right circular cone pictured below with height h, base radius…

A: We have to find the volume of a frustum of a right circular cone.

Q: A sphere with radius r is inscribed in a cylinder. Find the volumeof the cylinder in terms of r.

A: let a right circular cylinder of radius 'R' and height 'H' is inscribed in the sphere of the given…

Q: What is the volume of the torus whose region is inside the circle

A: (x-3)2 + y2 = 1. Take it as the form (x-b)2 + y2 = a2, where b=3 and a=1.

Q: 6. Find the volume of the torus generated by revolving the circle x² + y² = 4 about the line .x = 3.

A:

Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 5-meter intervals as…

A: According to the given information, Kidney shaped swimming pool is measured at 5-meter interval.

Q: = 36 is revolved about the line The area enclosed by the curve 4x² + 9y? = 2. Find the volume…

A:

Q: The widths (in meters) of a kidney-shaped pool were measured at 6-meter intervals, as indicated in…

A:

Q: 1. Use Pappus' Theorem to find the volume V of the torus generated by revolving a circular region of…

A: There are two Theorem by Pappus 1st for surface area of revolution and 2nd for volume of revolution…

Q: An aluminum can is to be constructed to contain 2500 cm^3 of liquid. Let r and h be the radius of…

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Q: Find the volume of liquid needed to fill a sphere of radius R to height R y V = 씨5

A:

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.