1 By what factor is the volume of a right square pyramid multiplied if its height is multiplied by 8 but the dimensions of its base are unchanged?

A. 1/16

B. 1/8

C. 4

D. 8

2 The base of a right circular cone has a radius of 8 cm and a slant height of 12 cm. If the radius and the slant height of the right circular cone are each multiplied by 9, what is the surface area of the new cone divided by the surface area of the original cone?

A. 96

B. 81

C. 72

D. 18

Question

Mathematics

Dallas Estes

20 April, 13:48

1 By what factor is the volume of a right square pyramid multiplied if its height is multiplied by 8 but the dimensions of its base are unchanged?

A. 1/16

B. 1/8

C. 4

D. 8

2 The base of a right circular cone has a radius of 8 cm and a slant height of 12 cm. If the radius and the slant height of the right circular cone are each multiplied by 9, what is the surface area of the new cone divided by the surface area of the original cone?

A. 96

B. 81

C. 72

D. 18

+5

Answers (1)

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Maxim Barrera · Answer 1

Regular Square PyramidV = 1/3 BHV = 1/3 (s2) HV = (1/3) 62 (8) = (1/3) (36) (8) V = 96 inches3 Right Circular ConeV = 1/3 πr2HV = 1/3 π (3) 2 (10) = 1/3 (90π) V = 30πV ≈ 94 inches3 Pyramid has a larger volume by approximately 2 inches 3