Question

a toy is in the form of cylinder of diameter 2 root 2 metre and height 3.5 m surmounted by a cone whose Vertical angle is 90 degree find total surface area​

Answer 1

Answer:

The total surface area of the toy is 23.02 meter square.     

Step-by-step explanation:

Given: A toy is in the form of a cylinder of diameter $2\sqrt{2}m$ and height 3.5m surmounted by a cone whose vertical angle is 90°.

To find : The total surface area of the top?

Solution :

Diameter of the $2\sqrt{2}m$

Radius of cylinder is $\sqrt{2}m$

The slant height if cone is

$l=\sqrt{h^2+r^2}$

$l=\sqrt{3.5^2+\sqrt{2}^2}$

$l=\sqrt{12.25+2}$

$l=\sqrt{14.25}$

$l=3.77m$

Total surface area of top= CSA of cone+Area of circle

$TSA=\pi rl+\pi r^2$

$TSA=\pi r(l+r)$

$TSA=3.14 (\sqrt2)(3.77+\sqrt2)$

$TSA=23.02 m^2$                                

Therefore, The total surface area of the toy is 23.02 meter square.     

Answer 2

Answer:

15.7m²

Step-by-step explanation:

refer to the attachment.