Question

Find the area of the metal sheet required to make a closed hollow cone of height 24 cm and base radius 7 cm. Also find the capacity of the cone.

Answer 1

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Answer 2

Answer:

703.36 square cm metal sheet is required .

The capacity of the cone is 1230.88 cubic cm .

Step-by-step explanation:

We are required to find the area of the metal sheet required to make a closed hollow cone of height 24 cm and base radius 7 cm.

So, we are supposed to find the total surface area of cone .

Formula of total surface area of cone = $\pi r l+\pi r^{2}$

Where l is the slant height

r is the radius

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

Since we are given that the height of the cone is 24 cm and radius of cone is 7 cm.

So,  $l=\sqrt{7^2+24^2}$

$l=25$

Now substitute the values in the formula of total surface area .

Total surface area of cone = $3.14 \times 7 \times 25 +3.14 \times 7^{2}$

                                             = $703.36 cm^2$

Thus 703.36 square cm metal sheet is required .

Volume of cone = $\frac{1}{3} \pi r^{2} h$

                           = $\frac{1}{3} \times 3.14 \times 7^{2} \times 24$

                           = $1230.88cm^3$

Hence the capacity of the cone is 1230.88 cubic cm .