Question

Please answer of this question Chimney consists of a cylindrical portion 20 cm long attached to a frustum of cone if the total height be 40 cm and the diameter of a cylindrical portion is 14cm and the diameter of the top of a Chimney is 24 cm find the area of metal required to make the chimney Pi =3.14 and root 17 =4.12

Answer 1

Step-by-step explanation:

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Answer 2

Area of the metal required to make chimney is $2109 \ cm^2$

Explanation:

Given that the total height is 40 cm

Diameter of the top of a chimney is 24 cm

Radius of the chimney $R = \frac{d}{2} =12 \ cm$

Diameter of the bottom of the chimney = 14 cm

Radius $r= 7 \ cm$

Height of the cylinder $h=20 \ cm$

Height of the chimney (H) = Total height - height of the cylinder

                                       $H= 40-20=20 \ cm$

We need to determine the area of the metal required to make the chimney.

Slant height, $\ l=\sqrt{\mathrm{h}^{2}+(\mathrm{R}-\mathrm{r})^{2}}$

                       $=\sqrt{(20)^{2}+(12-7)^{2}}$

                       $=\sqrt{400+25}$

                       $=\sqrt{425}$

                    $l=20.62 \ cm$

Thus, the slant height is $l=20.62 \ cm$

The surface area required to make the chimney is given by

$SA=\pi (R+r)l+2 \pi rh$

     $=\pi (12+7)(20.62)+2 \pi (7)(20)$

     $=\pi (391.78)+2 \pi (140)$

     $=391.78 \pi+240 \pi$

     $=671.78\pi$

     $=671.78(3.14)$

$SA=2109 \ cm^2$

Thus, the area of metal required to make the chimney is $2109 \ cm^2$

Learn more:

(1) An oil funnel of tin sheet consists of a cylindrical portion 10 cm long attached to a frustum of a cone. If the total height be 22 cm, the diameter of the cylindrical portion 8 cm and the diameter of the top of the funnel 18 cm, find the area of the tin required.

brainly.in/question/9120395

(2) An an open metallic bucket is in the shape of a frustum of a cone if the diameter of the two circular ends of the bucket are 45 cm and 25 cm and the vertical height of the bucket is 24 cm find the area of the metallic sheet used to make the bucket also find the volume of water it can hold

brainly.in/question/8630643