Geometry

"A cone has the radius of 24 and its volume is 1,920 what is the volume of a similar cone with the radius of 18 Answers A.480 B.810 C.1,080 D.1,440" How do I find the height for the similar cone to get its volume?

  1. 👍
  2. 👎
  3. 👁
  1. since volume scales as the cube of the linear scale,

    the new cone is scaled in every dimension to 3/4 the original cone. So, its volume is (3/4)^3 * 1920 = 810

    Note that you don't need the height, just the relative scale factor.

    1/3 pi r^2 h = 1920

    1/3 pi (3/4 r)^2 (3/4 h) = 1920 * (3/4)^3

    1. 👍
    2. 👎
  2. what was the answer???

    1. 👍
    2. 👎
  3. So what's the Answer please someone give the answer

    1. 👍
    2. 👎
  4. The correct answer is b. 810 cm^3

    1. 👍
    2. 👎
  5. Wow, Steve! Great job, very detailed. You must be very smart.

    1. 👍
    2. 👎
  6. 'Yeah, I agree. Who needs the answers for the whole test? I need help on a few questions. NOTE: THE QUESTIONS CHANGE: READ THE QUESTION BEFORE POSTING ANSWERS. YOU COULD BE GIVING WRONG ANSWERS TO PEOPLE!!!!!'

    1. 👍
    2. 👎
  7. The responses are mixed for EVERYONE, no one can post exact right answers

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    1. Find the volume of the given pyramid A.147 yd^3 B.175 yd^3 C.221 yd^3 D.441 yd^3 2. Find the volume of a square pyramid with a base of 9 cm and a height of 4 cm A.324 cm^3 B.108 cm^3 C.36 cm^3 D.152 cm^3 3. Find the volume of

  2. Math

    1.) find the volume of the given pyramid. H= 7yd B= 7yd and L= 9yd A. 147yd.^3 B. 157 yd.^3 C. 221 yd.^3 D. 441 yd.^3 ******* 2. Find the volume of a square pyramid with a base length of 9 cm and a height of 4cm. A. 324cm. ^3 B.

  3. Math

    1. A cone has a radius of 40 cm and a volume of 1875 cm^3. what is the volume of a similar cone with a radius of 16 cm. A: 120 cm^3 B: 300 cm^3 C: 75 cm^3 D: 750^3 I know the answer is A but could someone explain how to do the

  4. Algebra

    A cone has a radius of 15 cm and a volume of 540 cm3. Find the volume of a similar cone with a radius of 10 cm. A. 54 cm^3 B. 240 cm^3 C. 16 cm^3 D. 360 cm^3 I think its D but by the process of elimination...don't know how to

  1. MATH QUIZ PLS HELP!!!

    1.Find the lateral area of a cone with a radius of 7 ft. and a slant height of 13 ft. Use 3.14 for ©£ and round to the nearest tenth. 439.6 ft^2 324.5 ft^2 571.5 ft^2 285.7 ft^2*** 2.Find the surface area of a square pyramid

  2. Math

    A cone is constructed by cutting a sector from a circular sheet of metal with radius 20cm. The cut sheet is then folded up and welded. Find the radius and height of the cone with the maximum volume that can be formed in this way.

  3. Math

    1.Which solid has one base that is a triangle and three lateral surfaces that are triangles? A:Triangular Pyramid*** B:Triangular Prism C:Rectangular Prism D:Rectangular Pyramid 2.A solid with two parallel and congruent bases

  4. Geometry

    Given a soda can with a volume of 21 and a diameter of 6, what is the volume of a cone that fits perfectly inside the soda can? (Hint: only enter numerals in the answer blank). 7 because volume of a cylinder is pi r^2 h, and a

  1. algebra

    volume of cone varies jointly as square of its radius and its height if volume of a cone is 27pie cubic inches when radius is 3 inches and height is 9 inches find volume of a cone when radius is 4 inches and height is 3 inches

  2. math

    a cone has a radius of 24 cm and a volume of 1920 cm cubed what is the volume of a similar cone with a radius of 18 cm

  3. Calculus

    Given a right circular cone, you put an upside-down cone inside it so that its vertex is at the center of the base of the larger cone, and its base is parallel to the base of the larger cone. If you choose the upside-down cone to

  4. geometry

    11. Infinitely many different sectors can be cut from a circular piece of paper with a 12-cm radius, and any such sector can be fashioned into a paper cone with a 12-cm slant height. (a) Show that the volume of the cone produced

You can view more similar questions or ask a new question.