A square based pyramid and a cone both have the same height of 12 in. and the same base area. The volume of the cone is 3768 in.³ Based on the concepts of Cavalieri's principle, what is the perimeter of the base of the pyramid? 12 in. AA HINT: Use the volume to find the area of the base. V = Bh. Use the area of the base to find the side length of the square. A-tw Use the side length of I square to find the perimeter, P = 21+2w A 70.88 in. 99.95 in B C
A square based pyramid and a cone both have the same height of 12 in. and the same base area. The volume of the cone is 3768 in.³ Based on the concepts of Cavalieri's principle, what is the perimeter of the base of the pyramid? 12 in. AA HINT: Use the volume to find the area of the base. V = Bh. Use the area of the base to find the side length of the square. A-tw Use the side length of I square to find the perimeter, P = 21+2w A 70.88 in. 99.95 in B C
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a square based pyramid and a cone both have the same height of 12in and the same base area. The volume of the cone is 3768in^3 based on the concepts of Cavalieri's principe, what is the perimeter of the base of the pyramid
Transcribed Image Text:A square based pyramid and a cone both have the same height of 12 in. and the same
base area. The volume of the cone is 3768 in.
Based on the concepts of Cavalieri's principle, what is the perimeter of the base of the
pyramid?
12 in.
HAE PARLE DALT TART FALDA DHE DE
com a pa
HINT: Use the volume to find the area of the base. V = Bh.
Use the area of the base to find the side length of the square. À -lw
I
Use the side length of the square to find the perimeter, P = 21*2w
A
70.88 in.
99.95 in.
B
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