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A top is in the form of a cylinder of diameter 2√2 and height 3.5 m surmounted by a cone whose vertical angle is 90°. find total surface are of the toy.

User Pexichdu
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1 Answer

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The total surface area of the toy would be = 46.24m².

How to calculate the total surface area of the given toy?

To calculate the total surface area of the given toy, the following steps should be taken as follows:

Given;

∠C = 90°

AC = BC = X

AB² = AC²+BC²

AB² = x²+x²

2x² = (2√2)²

2 x² = 8

x² = 4

X = 2

r = d/2 = 2√2/2 = √2m

Slant height of conical portion = BC = 2m

Total surface area of toy =

2πrh + πrl+ πr²

= 2(3.14)(√2)(3.5)+(3.14)(√2)(2)+(3.14)(√2)²

= 31.08+8.88+6.28

= 46.24 m²

A top is in the form of a cylinder of diameter 2√2 and height 3.5 m surmounted by-example-1
User Jason Harris
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