Question

Radius of the base of a cone and height are respectively 35 cm and 72 cm.
Find the
(i) volume,
(ii) curved surface area,
(ii) total surface area of the cone ​

Answer 1

Answer:

Given:

Cone:

r=35cm

h=72cm

Step-by-step explanation:

(i) volume= 1/3πr²h

-> 1/3×22/7×35×35×72

->92400cm³

(ii) CSA= 2πrh

->2×22/7×35×72

->15840cm²

(iii)TSA=2πr(h+r)

->2×22/7×35(72+35)

->23540cm²

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Answer 2

i) Volume of the cone is 2640 cm³.

ii) Curved surface area of the cone is 8805.5 cm².

iii) Total surface area of the cone is 12655.5 cm².

Step-by-step explanation:

Radius of the base of a cone and height are respectively 35 cm and 72 cm.

i.e. r=35 cm and h=72 cm

The slant height is given by $l=\sqrt{h^2+r^2}$

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

$l=\sqrt{72^2+35^2}$

$l=\sqrt{5184+1225}$

$l=\sqrt{6409}$

$l=80.05$

i) Volume of the cone is $V=\frac{1}{3}\pi r^2 h$

$V=\frac{1}{3}\times \frac{22}{7}\times 35\times 72$

$V=2640\ cm^3$

ii) Curved surface area of the cone is $CSA=\pi rl$

$CSA=\frac{22}{7}\times 35\times 80.05$

$CSA=8805.5\ cm^2$

iii) Total surface area of the cone is $TSA=\pi r(l+r)$

$TSA=\frac{22}{7}\times 35\times(80.05+35)$

$TSA=\frac{22}{7}\times 35\times 115.05$

$TSA=12655.5\ cm^2$

#Learn more

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