the problems. O Kendra is filling cone-shaped baskets, each with a height of 20 inches and radius of 6 inches, to use as table decorations. Part A In terms of T, what is the exact volume of each cone-shaped basket? Answer: cubic inches Part B Kendra says that if she doubles the radius from 6 inches to 12 inches, the cone will have double the volume. Is she correct? Why or why not? A Yes, doubling the radius results in a volume that is twice as great as the original volume. B No, the radius is 6 inches longer, so the new cone will have a volume that is 6 more than the original volume. 1 C No, one factor of the formula for a cone is -, so the new cone will have a volume x2 =of the original volume. D No, the radius is squared and all the other numbers in the formula are the same, so because 12² = 144 and 6² = 36, the new cone will have a volume that is four times the original volume. %3D %3D
the problems. O Kendra is filling cone-shaped baskets, each with a height of 20 inches and radius of 6 inches, to use as table decorations. Part A In terms of T, what is the exact volume of each cone-shaped basket? Answer: cubic inches Part B Kendra says that if she doubles the radius from 6 inches to 12 inches, the cone will have double the volume. Is she correct? Why or why not? A Yes, doubling the radius results in a volume that is twice as great as the original volume. B No, the radius is 6 inches longer, so the new cone will have a volume that is 6 more than the original volume. 1 C No, one factor of the formula for a cone is -, so the new cone will have a volume x2 =of the original volume. D No, the radius is squared and all the other numbers in the formula are the same, so because 12² = 144 and 6² = 36, the new cone will have a volume that is four times the original volume. %3D %3D
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section10.7: Volumes Of Prisms And Cylinders
Problem 21E
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