Answered: Suppose the lateral part of a cone (not…

Suppose the lateral part of a cone (not including the base) is made from a quarter-circle. The base of the cone is a circle of radius 3 cm. What is the volume of the cone? Explain your reasoning.

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 39E: Kristine creates an open box by cutting congruent squares from the four corners of a square piece of...

See similar textbooks

Related questions

Q: Level L > K.9 Congruency in isosceles and equilateral triangles HPR What are the values of b and c?…

A: Sum of all the interior angle of traingle is 180°equal side of isoceles triangle make equal angle…

Q: Point Q is on MN such that MQ:QN - 2:3. If M has coordinates (3.5) and N has coordinates (8.-5). the…

A: We can find the coordinate of Q using the given data in the below steps.

Q: Carnival Ride. A Ferris wheel traces an elliptical path with both a major and minor axis of 140…

A: As we know that the standard equation of circle with center at origin is x2+y2=r2, wher r is the…

Q: Geometry Part 1 [Competency Based] - Lesson 37 Assessment - EDCB.MA104.A ion 1 2 3 In addition to…

Q: Which two triangles are congruent by the SSS Theorem? Complete the congruence statement. T A ++ U ≈A…

A: SSS congruency rule for trianglesSuppose we have two triangles such that the three sides of first…

Q: Complete the proof that ZTWV ZUTW. 1 2 3 S Statement W SU | VX ZTWV ZRTS ZRTS ZUTW ZTWV ZUTW T R…

Q: What is the answer

Q: PQ PR. Complete the proof that APQR ≈ APRQ. 1 Q 2 3 Statement PQ PR LP LP R APQR APRQ P Reason

Q: Find the slope, if it exists, of the line containing the pair of points (7,4) and ( – 5,4). Select…

A: We can find the slope of the line containing the given points in the below steps.

Q: Find (a) the range, and (b) the standard deviation for the given sample. 85.06, 85.48, 84.13, 85.76,…

Q: he value of y is directly proportional to the value of x. When x = 4.8, the value of y is 24. What…

Q: distance FG between the points F(2,7) and G(4,-1) round your answer to the nearest tenth if…

A: Given query is to find the distance between F and G

Q: Which two triangles are congruent by the AAS Theorem? Complete the congruence statement. W X S U A C…

Q: Find the area of the right triangle. Area 1 unit square units ✓

Q: Draw the tetrahedron* whose vertices are at (0, 0, 0), (0, 4, 0), (3, 3, 0), and (1, 2, 3).…

Q: Which two triangles are congruent by the ASA Theorem? Complete the congruence statement. x = خ W T U…

A: To determine which two triangles are congruent by the ASA Theorem.To complete the congruence…

Q: 2. Given that S is the midpoint of QP, T is the midpoint of PR, and Pis the midpoint of ST, write a…

A: We can write the paragraph proof in the below steps.

Q: Example. 5: The second term is 6 and the sixth term is 486. Find the possible sequence. Use this…

A: Let's find geometric sequence.

Q: Construct the perpendicular bisector of each. Given: A line segment.

A: Construct the perpendicular bisector of each. Given: A line segment.

Q: Find the measure of the complement of a 36° angle. The measure of the complement of a 36° angle is…

A: The given angle is 36.

Q: Solve for x. If needed, round your answer to 1 decimal place. 11 X 31°

A: sin(a)=perpendicularhypotenuse given, perpendicular=11 hypotenuse=x…

Q: 6 Given that AT || MH and AM || TH, is AMAH ATHA? M T H

Q: Use a protractor to measure the angle vertical to the park and write its measurement in the angle

A: I am using protector of My laptop.

Q: Find (a) the volume and (b) the surface area of the figure. (a) Volume= (b) Surface area = (Simplify…

A: The given figure is cuboid ,we will use the formulas of cuboid

Q: Find and interpret the average rate of change illustrated in the graph. Select the correct choice…

Q: 14) Find the measure of ZRSW. R &x + 20 S W 7x + 10

A: To find the measure of the given angle.

Q: 1.3-Midpoi X → C D sd206.org bookmarks Nicki Minaj X Messenger X Supreme Court Cas... Be Facebook X…

Q: At what point does the lines of 3y+6x=4 and the line y=-2x meets? (2, 1) (0, 3) (1, -2) Never…

Q: Find the slope of the line through the pair of points by using the slope formula. (4,5) and (2,-5)…

Q: The following lines would cross at the point the lines can be described as for equation and answer…

Q: C…

Q: 17. Given the three points M(6,2,-3), N(-2,3,0), and P(-4,6,5), find: (a) the area of the triangle…

Q: E. Question 12/16 r 12 x= (5x + 2) mDF = mDEF B = E H F > NEXT (7x - 12) BOOKMARK ✓CHECK ANSWER

A: I am attaching image so that you understand each and every step.

Q: Construct a line segment perpendicular to the segment given through the point given. Given: Line…

Q: Craph the Figure with vertices T(2,3), R(2,5), A (7,3). N (1,1) graphe the each image of TRAN aftor…

Q: Points ABCD are given. Given that... a) The vertices of AABC are A(0,0), B(10,2) and C(12,-8).…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: A plant has a cylindrical tank for storing solvent The capacity of the tank is 10,000 gallons. A new…

A: I think there is a typographical error and the question will be "A plant has a cylindrical tank for…

Q: Find the value of x that would make the lines parallel. A (10x+63) (3x)°

A: Recall: If any pair of co-interior angles add up to 180 degrees then the lines are parallel.

Q: Which of the following reasons is used in the proof that follows? Statement Reason 1. *+7=9 2. x + 7…

Q: x (m) 20 10 0 10 20 t (s) 30 40 50

Q: H G y A F O B E C D X In the figure, name the line segment(s) whose slope(s) is/are (a) positive…

A: Slope (m)=tan-1θ where θ = angle made by tangent with positive X axis θ<90 slope is…

Q: What is the image point of (-1, -3) after the transformation.

A: The point is given as P(-1,-3). The line of transformation is given as y=-x.

Q: Consider the infinite geometry R^2, where points are (x, y) ∈R and lines are ax + by + c = 0 with a,…

A: We have to show that R^2 is an Affine plane.

Q: Use formulas to find the area of the figure. (D) OA. 180 ft² OB. 7,200 ft² OC. 220 ft² OD. 40 ft²

A: To find the area of the given figure.

Q: Find the value of x in the following special triangle. C A 60° x= 30 8 Submit Question - В

Q: Graph the line with the given point and slope. 5 3 Through (4,-2); slope = Use the graphing tool on…

Q: Graph the line with the given point and slope. 5 3 The line through (0, -6) with slope Use the…

Q: 8. Make the following conversions using a simle conversion factor as demonstrated in cla (all…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: (a) Find the equation of the line with slope -2 and that contains the point (−6, −5). Write the…

A: To find out the equation of the line in slope intercept form.

Q: I plugged it in and it said it is incorrect

A: Given, ABCD~JKLH Here ABCD and JKLH are rectangles Therefore, AB=CD =5 and DA=BC=4 JK=LH=4x+2…

Question

Suppose the lateral part of a cone (not including the base) is made from a quarter-circle. The base of the cone is a circle of radius 3 cm. What is the volume of the cone? Explain your reasoning.

Two-dimensional figure measured in terms of radius. It is formed by a set of points that are at a constant or fixed distance from a fixed point in the center of the plane. The parts of the circle are circumference, radius, diameter, chord, tangent, secant, arc of a circle, and segment in a circle.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Rukia discovers that the teepee with a circular floor has a radius length of 6 ft and a height of 15 ft. Find the volume of the enclosure.
A solid is formed by cutting a conical section away from a right circular cylinder. If the radius measures 6 in. and the altitude measures 8 in., what is the volume of the resulting solid?
Find the volume and the surface area of a closed box that has dimensions of 9 in., 10 in., and 1 ft.
A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can hold 7.5 gal of gasoline, what is the total storage capacity of the tank measured in gallons?
The base of a right prism is a regular hexagon whose sides are 8cm in length. The height of the prism is 13 cm. Find the a Lateral area b total area c volume.
Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?
The base of a right prism is a triangle whose sides have lengths of 9 in. 15.in, The height of the prism is 10 in. find the a Lateral area. b total area. c volume.
A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can hold 7.5 gallon of gasoline, what is the total storage capacity of the tank measured in gallons?