|--12 ft-| onsider the surface area of the observatory, if the radius of the cylinder is 12 ft and its altitude measures 40 ind the exact lateral area (in square feet) of the cylinder. ft² ind the exact surface area (in square feet) of the curved part of the hemisphere. 1) Fe² ft² What is the surface area (in square feet) of the observatory? Use the calculator value of. (Round your answ ecimal places.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section10.5: Surface Areas Of Prisms And Cylinders
Problem 19E
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An observatory has the shape of a right circular cylinder surmounted by a hemisphere.
-12 ft-
40 ft
Consider the surface area of the observatory, if the radius of the cylinder is 12 ft and its altitude measures 40 ft.
Find the exact lateral area (in square feet) of the cylinder.
ft²
Find the exact surface area (in square feet) of the curved part of the hemisphere.
ft²
What is the surface area (in square feet) of the observatory? Use the calculator value of T. (Round your answer to two
decimal places.)
ft²
If 1 gallon of paint covers 400 ft² and you can only purchase full gallons of paint, how many gallons must be purchased to
paint the surface if it requires two coats? (Round your answer up to the nearest whole number.)
gal
Transcribed Image Text:An observatory has the shape of a right circular cylinder surmounted by a hemisphere. -12 ft- 40 ft Consider the surface area of the observatory, if the radius of the cylinder is 12 ft and its altitude measures 40 ft. Find the exact lateral area (in square feet) of the cylinder. ft² Find the exact surface area (in square feet) of the curved part of the hemisphere. ft² What is the surface area (in square feet) of the observatory? Use the calculator value of T. (Round your answer to two decimal places.) ft² If 1 gallon of paint covers 400 ft² and you can only purchase full gallons of paint, how many gallons must be purchased to paint the surface if it requires two coats? (Round your answer up to the nearest whole number.) gal
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