infamousambrose infamousambrose

01-07-2020
Mathematics

contestada

wow I can't start typing the message an open cylindrical container has a base radius of 3.5 cm if the ratio of the area of its base to that of its curved surface is 1:6, calculate the height of the container

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sqdancefan sqdancefan

03-07-2020

Answer:

height = 10.5 cm (for open-top container)

Step-by-step explanation:

The area of the base is ...

A = πr²

The lateral area is ...

A = 2πrh

We want the ratio of these to be 1:6, so we have ...

πr²/(2πrh) = 1/6

6πr² = 2πrh . . . cross multiply

h = 3r . . . . . . . divide by 2πr

h = 3(3.5 cm) = 10.5 cm

The height is 10.5 cm.

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