The angles of a triangle are in the ratio 1:2:3. If its hypotenuse is 12cm, find the volume of the double cone formed by revolution of triangle about its hypotenuse.

Pls help me!

  1. 👍 0
  2. 👎 0
  3. 👁 288
  1. x + 2x + 3 x = 180
    x = 30
    we are talking about a 30, 60, 90 triangle
    sides are 6 and 6 sqrt 3

    bottom cone (I have the 6 side down)
    hypotenuse is 6
    length along axis = 6 sin 30 = 6/2 = 3
    length perp to axis = 3 sqrt 3
    volume of bottom cone
    = (1/3) 3 (pi) (3 sqrt3)^2
    = pi (9*3) = 27 pi

    top cone
    length along axis = 12-3 = 9
    same 3 sqrt 3 perp to axis
    Vol = (1/3)(9)(3 sqrt 3)^2
    = 81 pi

    total = (27+81)pi = 108 pi
    so I have a cone

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    The internal angles of a triangle in the ratio 3:5:7. Find the degree measures of the angles. Also find measure of its greatest exterior angle.Give complete calculation.

  2. MATH!

    To get from his high school to his home, Jamal travels 5.0 miles east and then 4.0 miles north. When Shelia goes to her home from the same high school she travels 8.0 miles east and 2.0 miles south. What is the measure of the

  3. Geometry

    A right triangle has exterior angles at each of its acute angles with measures in the ratio 13:14. Find the measure of the smallest interior angle of the triangle. 40 (degrees) 50 (degrees) 130 (degrees) 140 (degrees) Please help?

  4. algebra

    The flag of a country contains an isosceles triangle.​ (Recall that an isosceles triangle contains two angles with the same​ measure.) If the measure of the third angle of the triangle is 45​° more than three times nbsp the

  1. Algebra

    Which statement about a right triangle is NOT true? A.) The hypotenuse is the longest side of the triangle. B.) The square of the hypotenuse is equal to the sum of the squares of the other two lengths. C.) The sum of the length of

  2. Geometry

    In right triangle ABC, ∠A is a right angle and sinC=1517. Triangle A B C with a right angle at A and hypotenuse B C. What is the ratio cos C? Enter your answer as a fraction in simplest form, like this: 42/53

  3. Geometry

    the measures of three angles of a triangle are in the ratio 4:5:6. Find the measure of each

  4. Math-check my answers please :)

    1.Find the length of the hypotenuse of a right triangle with the legs of 9cm and 12cm A.8 B.21 C.15*** D.225 2.The length of a hypotenuse of a right triangle is 13cm. The length of one leg is 5cm. Find the length of the other leg.

  1. math

    If one angle of a triangle is 100 and the other angles are in the ratio of 2:3, find the angles.

  2. Math

    The length of the hypotenuse of a right triangle is 15 cm. The length of one leg is 9 cm. Find the length of the other leg. A. 6cm B. 12cm C. 17cm ***My answer*** D. 144cm

  3. Math

    Each triangle is a 30-60-90 triangle, and the hypotenuse of one triangle is the longer leg of an adjacent triangle. The hypotenuse of the largest triangle is 8 centimeters. What is the number of centimeters in the length of the

  4. MATHS-traingles

    one of the exterior angles of a triangle is 126 degree and the interior opposite angles are in the ratio 2:4. Find the angles of the triangle.

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