SOLUTION: A cone has a diameter of 16 in. and a slant height of 17 in. What is the approximate volume of the cone? Use 3.14 to approximate the value of straight pi. Round your answe

Algebra ->  Pythagorean-theorem -> SOLUTION: A cone has a diameter of 16 in. and a slant height of 17 in. What is the approximate volume of the cone? Use 3.14 to approximate the value of straight pi. Round your answe      Log On


   

Question 970458: A cone has a diameter of 16 in. and a slant height of 17 in.

What is the approximate volume of the cone? Use 3.14 to approximate the value of straight pi. Round your answer to the nearest tenth, if necessary. (Hint: V equals 1 third straight pi r squared h )





http://static.k12.com/calms_media/media/1579000_1579500/1579259/1/46806957cc283c004d05d6ee809afdbfc595c4d4/MS_IMC-150123-1306013.jpg




A.

1004.8 in3





B.

1138.8 in3





C.

1259.3 in3





D.

4019.2 in3
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Notice the triangle formed, AED is a right triangle. You can find h, the height using Pythagorean Theorem.
Triangle BED is congruent to triangle AED.

h%5E2%2B%2816%2F2%29%5E2=17%5E2
h%5E2=17%5E2-8%5E2
h=sqrt%2817%5E2-64%29
h=sqrt%28225%29
h=15

volume of the cone is %281%2F3%29h%2Api%28r%5E2%29------excuse the rendering; pi is a factor, NOT an exponent;
volume is %281%2F3%29%2A15%2Api%2A%288%5E2%29
5%2Api%2A64
highlight%28320%2Api%29.