SOLID MENS I 1. A sphere is inscribed in a right circular cone whose slant height has a length equal tothe diameter of its base. What is the volume of the sphere if the slant height and thediameter of the cone both measure 12 cm?12 cm12 cm2. An observatory has the shape of a right circular cylinder surmounted by ahemisphere. If the radius of the cylinder is 14 ft and its altitude measures 30 ft, whatis the surface area of the observatory? If 1 gal of paint covers 300 ft2, how manygallons are needed to paint the surface if it requires two coats?30 ft- 14 ft-3. A leather soccer ball has an inside diameter of 8.5 in and oa thickness of 0.1 in. Findthe volume of leather needed for its construction.

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1. A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter of its base. What is the volume of the sphere if the slant height and the diameter of the cone both measure 12 cm? 12 cm 12 cm

1. A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter of its base. What is the volume of the sphere if the slant height and the diameter of the cone both measure 12 cm? 12 cm 12 cm

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...

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Question

SOLID MENS I

1. A sphere is inscribed in a right circular cone whose slant height has a length equal to
the diameter of its base. What is the volume of the sphere if the slant height and the
diameter of the cone both measure 12 cm?
12 cm
12 cm
2. An observatory has the shape of a right circular cylinder surmounted by a
hemisphere. If the radius of the cylinder is 14 ft and its altitude measures 30 ft, what
is the surface area of the observatory? If 1 gal of paint covers 300 ft2, how many
gallons are needed to paint the surface if it requires two coats?
30 ft
- 14 ft-
3. A leather soccer ball has an inside diameter of 8.5 in and oa thickness of 0.1 in. Find
the volume of leather needed for its construction.

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