67. Dimensions of a Structure A storage bin for corn consists of a cylindrical section made of wire mesh, surmounted by a conical tin roof, as shown in the figure. The height of the roof is one-third the height of the entire structure. If the total vol- ume of the structure is 1400 ft² and its radius is 10 ft, what is its height? [Hint: Use the volume formulas listed on the inside front cover of this book.] 10 ft

Question

Dimensions of a Structure A storage bin for corn consists of
a cylindrical section made of wire mesh, surmounted by a
conical tin roof, as shown in the figure. The height of the roof
is one-third the height of the entire structure. If the total volume of the structure is 1400p ft 3
and its radius is 10 ft, what
is its height? [Hint: Use the volume formulas listed on the
inside front cover of this book.]

67. Dimensions of a Structure A storage bin for corn consists of
a cylindrical section made of wire mesh, surmounted by a
conical tin roof, as shown in the figure. The height of the roof
is one-third the height of the entire structure. If the total vol-
ume of the structure is 1400 ft² and its radius is 10 ft, what
is its height? [Hint: Use the volume formulas listed on the
inside front cover of this book.]
10 ft

Image Transcription

67. Dimensions of a Structure A storage bin for corn consists of a cylindrical section made of wire mesh, surmounted by a conical tin roof, as shown in the figure. The height of the roof is one-third the height of the entire structure. If the total vol- ume of the structure is 1400 ft² and its radius is 10 ft, what is its height? [Hint: Use the volume formulas listed on the inside front cover of this book.] 10 ft

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