I f a right circular cone has a circular base with a diameter of length 8cm and volume of 16πcm³. Find its Lateral area

Q: The density of a type of stone is 2000 kg/m^3. Find the work needed to build a stone cone with a…

A: Given: The density of the stone is 2000 kg/m3. The radius of the stone cone, r = 100m. And, the…

Q: *® x'+yt+ 2" =4 r=2 coso , %3D Find the volume

A: We have r = 2cosθ and x² + y² + z² = 4

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Q: Find the volume V of the described solid S. A right circular cone with height 7h and base radius 4r…

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A: Given :             r =2a cosθϕ=α0 < α <π2  To Find : Volume of the bounded region

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Q: Q/ Find the Surface area generated by revolving y = 1 – x² around the y- ? 0 <x <1 axis, where

A: This is a problem related to integration. Based on the general formula and concepts we will answer…

Q: Find the volume of the solid generated by revolving the region in the first quadrant bounded by the…

A: For rotation about Y axis, the graph will be as shown,

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Q: 3. Find the surface area of the object obtained by rotating y = 4 + 3x?, 1<x<2 about the y-axis.

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Q: Use integration and trigonometric substitution to find the area enclosed by the ellipse:…

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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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Q: 1. The hy per bola x²-y² = a² revolves about its transverse axis. Find the volume of a segment of…

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Q: For the accompanying right circular cone, h = 6 m and r = 4 m. Find the exact and approximate a)…

A: given: the height of the cone is h=6m and the radius of the cone is r=4m. then we have to find the…

Q: Find the volume of the solid generated by re-volving the region in the first quadrant bounded by the…

A: First calculate the area ‘A’ under the given curve as.

Q: The volume of a right circular cone of radius x and height y 1 is given by V = - Taʻy. Suppose that…

A: Given that: Volume of right circular cone:    V=13πx2y

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A: 1st we will derive formula for volume of rotation for polar curve about x and y axis  Using relation…

Q: 2. Let V be the volume of a right circular cone of height 10 whose base is a circle of radius 4…

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Q: An oil storage tank can be described as the volume generated by revolving the area bounded by =D0,…

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Q: Solve. 4) Find the surface area of the cone frustum generated by revolving the line segment y =…

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Q: Find the volume of the cone. Either enter an exact answer in terms of T or use 3.14 for T. 5 units3

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Q: 3. Find the surface area of this cone. 5 m 12m B iU Font Family - AA A e=- E P Search

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Q: Let the radius of the cylinder be r cm and the height of the cylinder h cm.

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A: The curved surface area  S=πrr2+h2 r changes from 250 to 2.55 ∆r=2.55-2.50=0.05 h changes from 0.60…

Q: Vx² +y² and A metal plug has been designed using the intersection of the two cones z = x² + y2 += 1.…

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A: Given that y=x+2,y=2 The formula for washer method is, V=π∫abf(x)2-g(x)2dx Here in the problem,…

Q: Find the exact area of the surface obtained x = t°, y =t" 0<t<lby rotating about the x- axis.

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Q: Q/ Find the Surface area generated by revolving y = 1– x² around the y- ?0 < x <1 axis, where

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Q: For the right circular cylinder shown, r = 4 cm and h = 6 cm. IT Find the exact a) lateral area. b)…

A: Since, for the right circular cylinder we have been given r=4 cm and h=6 cm.Our Aim is to find:-(a)…

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Q: The solid shown consists of a right circular cylinder od diameter d and altitude of h, surmounted by…

A: The solid shown consists of a right circular cylinder od diameter d and altitude of h, surmounted by…

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.