A spherical volume charge with aradius of 6cm has a charge density of10 nC/m³. The total charge in thesphere is :8.64 x10-12 C.a86.4A x10-12 c.b8.64n x10-9 C.C864T x10-9 C8.64 x10-9 C.e8.64n x1012 C.f8647 ×10-12 C.g86.4 x10-12 C.h

The radius of the sphere r=6 cm=0.06 m Charge density ρ=10 nC/m3=10×10-9 C/m3 We have to find the…

Answered: A spherical volume charge with a radius…

Math

Geometry

A spherical volume charge with a radius of 6cm has a charge density of 10 nC/m³. The total charge in the sphere is :

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.1: Prisms, Area And Volume

Problem 30E: A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases....

See similar textbooks

Related questions

Q: Find the volume of the solid that lies in the first octant I

A: In this question, we find the volume of solid bounded by sphere, coordinates planes, and the cone.…

Q: Find the volume generated by revolving the area enclosed by the curve x? + y? = 9 about the x-axis.

A: This is the application of integral problem

Q: Given a 60 microcoulomb point charge located at the origin, find the total electric flux passing…

Q: Find the center of mass of a cylinder of radius 2 and height 4 and mass density e^(−z), where z is…

A: Given that, δ(x,y,z) = e-z, r = 2 and z=4 By using of formula, M = ∫∫∫W δx,y,z dvMxy = ∫∫∫W z…

Q: FIND THE TOTAL MASS OF THE WIRE WITH DENSITY P t't + 2ty, ztj, ріх, у) - бду, 044 (0) :

Q: Find the center of mass for the specified area between the pieces Equivalent y=x^2/b and straight…

Q: A closed right circular cylindrical tank made of s inch thick metal has an outer radius of 2 ft and…

A: solution:-(1)outer radius, r=2 ftheight, h=6 ftouter surface area of cylinder= 2πrh+2πr2…

Q: 2. Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides…

Q: Find the total mass of the triangular region in the figure below, which has density 8 (x) = 2 + x…

A: According to the problem , we have

Q: Built around 2600 bce, the Great Pyramid of Giza in Egypt (Figure) is 146 m high and has a square…

A: Solution:GivenBuilt around 2600 bceThe Great Pyramid of Giza in Egypt is 146 m.A square base of side…

Q: Find the volume obtained by rotating R about the line = -e.

A: Volume : π2e2+4e+1

Q: Find the mass of a thin wire in the shape of the quarter circle a² + y² = 9 in the first quadrant,…

Q: A prismatoid has an upper base of 90cm^2 a lower base od 210cm^2 an altitude of 100cm, and a…

A: Given , A prismatoid has an upper base of 90 cm2 and lower base of 210 cm2 , altitude of 100 cm and…

Q: =) Given a lamina that occupies the region outside the circle r = 2 and inside the %3D cardioid r =…

Q: Find the total mass M of a 2-m rod of linear density ρ(x) = 1 + x(2 − x) kg/m, where x is the…

A: Consider the given given information. ρx=1+x2-x kg/m The mass of the rod is given by the formula.…

Q: find the volume of the solid generated when R is revolved about the x-axis

A: Given that R is the region enclosed by the curve y=cosx, y=ex, x=π2 The volume of the solid…

Q: The density of a spherical solid of radius 2, centered at the origin, is given by D(ρ) = 4ρ grams…

A: Consider the following figure.We have find the volume of the solid above the plane z = 3.

Q: 5. Find the volume of spherical wedge formed by rotating through an angle of 45 a semi circle of…

Q: Let m be the least possible surface area of a closed circular cylindrical can whose volume is equal…

Q: Calculate the total mass M of a circular piece of wire of radius 4 cm centered at the origin whose…

Q: A hollow spherical iron ball has a diameter of 15.3 cm and has a mass of 12.3 kilograms. Assuming…

Q: Let m be the least possible surface area of a closed circular cylindrical can whose volume is equal…

Q: Find the volume cm^3 of the solid figure in Fig 1182 that was generated by rotating the shaded…

A: Volume of revolution

Q: y=Vx, y= x

Q: The end plates of the trough shown here were designed to withstand a fluid force of 6667 lb. How…

Q: 2. Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides…

Q: Find the mass of a solid ball of radius 1, if the density at each point r units from the center is…

A: Given density at each point r units from the center of the ball is 11+r2.

Q: Find the center of mass for a quarter of a regular circular plate of radius (b) b

Q: 5. Find the volume under the paraboloid = -a? – y?, and above the cone z = - p² + y?.

Q: What is the weight of water inside a cylindrical tube of height 2m buried in the surface? [Take…

A: Topic-Volume of cylinder

Q: A thin Wire is bent into the Shape of a semicircle X² + y² = 4₁ X 70. If linear density is 3, find…

Q: 1. Use the cylindrical shells to find the volume of the solids generated when the shaded area is…

A: The volume of solid of revolution can be calculated using the cylindrical elements. The formula for…

Q: Calculate the mass of the solid, in the first octant, bounded by the coordinated planes and the plan…

Q: Compute the volume of the solid above the cone o = , and between the spheres p = 1 and p = 3. Hint:…

A: We have to use spherical co ordinate system

Q: Find the volume of a sphere. 4/3piR^3 using cylindrical shells

Q: Given a lamina that occupies the region outside the circle r = 2 and inside the cardioid r = 2 +…

A: Given a lamina that occupies the region outside the circle r = 2 and inside the cardioid…

Q: ゴー aab

Q: Suppose a solid mass is in the shape of the unit ball in R³, that is, the region with ² +y? + 2? <…

A: We are given the region is x2+y2+z2≤1. And the mass density of the solid mass is fx, y,…

Q: nd the radius of a sphere with volume z 113.04 in³.

A: Given that Volume of sphere = 113.04 in2

Q: Calculate the second moment of area of a 4-in-diameter shaft about the x-x and yy axes

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: For a right circular cylinder, suppose that r= 6 in and H=7 in. Find the exact: Volume

A: Given Radius (r) = 6 in Height (h)=7 in To find Volume of right circular cylinder

Q: Find the volume of the solid generated by revolving the shaded region about the given axis.

A: We need to find volume.

Q: 3) Find the total force of water pressure exerted on the glass wall of an aquarium with the…

Q: In the formula y -| A(u)đu used to compute the volume of a solid: a

A: Given, In the formula V=∫abAudu used to compute the volume of a solid.

Q: 3) Find the total force of water pressure exerted on the glass wall of an aquarium with the…

Q: Compute the volume lying inside the sphere x? + y? + z? = 37 but outside of x² + y? = 21.

Q: Use the method of disks to rotate a circle of radius r around the x axis and prove that a sphere of…

Q: Locate the mass center of the homogeneous solid body whose volume is determined by revolving the…

Q: The volume of the solid generated by revolving the curve x = , about the y-axis between y = 0 and y…

Q: The volume of the open cylindrical tank is

Question

100%

A spherical volume charge with a
radius of 6cm has a charge density of
10 nC/m³. The total charge in the
sphere is :
8.64 x10-12 C
.a
86.4A x10-12 c
.b
8.64n x10-9 C
.C
864T x10-9 C
8.64 x10-9 C
.e
8.64n x1012 C
.f
8647 ×10-12 C
.g
86.4 x10-12 C
.h

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given,

VIEW

Step 2: Concept Used

VIEW

Step 3: Calculation

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Prisms$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.