Similar shapes, composite solids, scale factor #11

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 50A
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Similar shapes, composite solids, scale factor #11
Find the volume of each sold Round to the nearest tenth.
26. 5 in.
27.
9.1m
12 cm
11 in.
10.5 cm
10 m
7 in.
12 m
20.4 m
P6 cm -
31. CHANGING DIMENSIONS A cone has a radius of 4 centimeters and la height
of 9 centimeters. Describe how each change affects the volume of the cone,
a. The height is doubled.
b. The radius is doubled.
c. Both the radius and the height are doubled.
10. Two similar pyramids have slant heights of 6 inches and 12 inches, What is the ratio
of the surface area of the small pyramid to the surface area of the large pyramid?
Two similat cylinders have heights of 35 meters and 25 meters. What is thet ratio of
the volume of the large cylinder to the volume of the small cylinder?
12. Two spheres have surface areas of 100n square centimeters and 16t square
centimeters. What is the ratio of the volume of the large sphere to the volume of the
small sphere?
13. Two similar hexagonal prisms have volumes of 250 cubic feet and 2 cubic feet. What
is the ratio of the height of the large cylinder to the height of the small cylinder?
* Previous
Transcribed Image Text:Find the volume of each sold Round to the nearest tenth. 26. 5 in. 27. 9.1m 12 cm 11 in. 10.5 cm 10 m 7 in. 12 m 20.4 m P6 cm - 31. CHANGING DIMENSIONS A cone has a radius of 4 centimeters and la height of 9 centimeters. Describe how each change affects the volume of the cone, a. The height is doubled. b. The radius is doubled. c. Both the radius and the height are doubled. 10. Two similar pyramids have slant heights of 6 inches and 12 inches, What is the ratio of the surface area of the small pyramid to the surface area of the large pyramid? Two similat cylinders have heights of 35 meters and 25 meters. What is thet ratio of the volume of the large cylinder to the volume of the small cylinder? 12. Two spheres have surface areas of 100n square centimeters and 16t square centimeters. What is the ratio of the volume of the large sphere to the volume of the small sphere? 13. Two similar hexagonal prisms have volumes of 250 cubic feet and 2 cubic feet. What is the ratio of the height of the large cylinder to the height of the small cylinder? * Previous
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