The correct option for the integral that describes the volume of a right circular cone along with the dimensions of the torus. The options are: The integrals: (i) 2 π ∫ 0 r h x d x (ii) 2 π ∫ 0 r h x ( 1 − x r ) d x (iii) 2 π ∫ 0 r 2 x r 2 − x 2 d x (iv) 2 π ∫ 0 b 2 a x 1 − x 2 b 2 d x (v) 2 π ∫ − r r 2 ( R − x ) r 2 − x 2 d x
The correct option for the integral that describes the volume of a right circular cone along with the dimensions of the torus. The options are: The integrals: (i) 2 π ∫ 0 r h x d x (ii) 2 π ∫ 0 r h x ( 1 − x r ) d x (iii) 2 π ∫ 0 r 2 x r 2 − x 2 d x (iv) 2 π ∫ 0 b 2 a x 1 − x 2 b 2 d x (v) 2 π ∫ − r r 2 ( R − x ) r 2 − x 2 d x
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Chapter 7.3, Problem 56E
(a)
To determine
The correct option for the integral that describes the volume of a right circular cone along with the dimensions of the torus. The options are:
The integrals:
(i) 2π∫0rhxdx
(ii) 2π∫0rhx(1−xr)dx
(iii) 2π∫0r2xr2−x2dx
(iv) 2π∫0b2ax1−x2b2dx
(v) 2π∫−rr2(R−x)r2−x2dx
(b)
To determine
The correct option for the integral that describes the volume of a right circular cone along with the dimensions of the torus. The options are:
The integrals:
(i) 2π∫0rhxdx
(ii) 2π∫0rhx(1−xr)dx
(iii) 2π∫0r2xr2−x2dx
(iv) 2π∫0b2ax1−x2b2dx
(v) 2π∫−rr2(R−x)r2−x2dx
(c)
To determine
The correct option for the integral that describes the volume of a right circular cone along with the dimensions of the torus. The options are:
(i) 2π∫0rhxdx
(ii) 2π∫0rhx(1−xr)dx
(iii) 2π∫0r2xr2−x2dx
(iv) 2π∫0b2ax1−x2b2dx
(v) 2π∫−rr2(R−x)r2−x2dx
(d)
To determine
The correct option for the integral that describes the volume of a right circular cone along with the dimensions of the torus. The options are:
(i) 2π∫0rhxdx
(ii) 2π∫0rhx(1−xr)dx
(iii) 2π∫0r2xr2−x2dx
(iv) 2π∫0b2ax1−x2b2dx
(v) 2π∫−rr2(R−x)r2−x2dx
(e)
To determine
The correct option for the integral that describes the volume of a right circular cone along with the dimensions of the torus. The options are:
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY