Question

A toy is in the form of cone mounted on a hemisphere the radius of the base and the height of the cone or 7 cm and 8 cm respectively find the surface area of the toy​

Answer 1

The total surface area of the toy is 541.86 cm².

Step-by-step explanation:

Consider the provided information.

A toy is in the form of cone mounted on a hemisphere the radius of the base and the height of the cone or 7 cm and 8 cm respectively.

First find the slant height of the cone.

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

Substitute the respective values in the above.

$l=\sqrt{7^2+8^2}$

$l=\sqrt{49+64}$

$l=\sqrt{113}$

$l=10.63$

Surface area of the toy = Surface area of the cone + surface area of hemisphere

Surface area of the toy = $\pi r l+2\pi r^2$

Surface area of the toy = $\frac{22}{7} \times7 \times10.63+2\times\frac{22}{7} \times 7^2$

Surface area of the toy = $233.86+308$

Surface area of the toy = $541.86$

Hence, the total surface area of the toy is 541.86 cm².

#Learn more

A toy is in the form of a cone of radius r cm mounted on a hemisphere of the same radius the total height of the toy is (r+h)cm then the volume of toy is ?​

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