The ratio of base radius to slant height of a right circular cone is 3:2. Calculate the ratio of total surface area of cone to curved surface area of the cone.(Take $π = \frac{22}{7}$ ). [3 MARKS]

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Solution

Concept: 1 Mark
Formula: 1 Mark
Application: 1 Mark

$\frac{r}{l} = \frac{3}{2}$

Total surface of cone $= π r (l + r)$

Curved Surface area of the cone $= π r l$

Their ratio $\frac{π r (l + r)}{π r l} = \frac{l + r}{l}$

$\Rightarrow 1 + \frac{r}{l} = 5 : 2$

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The ratio of base radius to slant height of a right circular cone is 3:2. Calculate the ratio of total surface area of cone to curved surface area of the cone.(Take π=227). [3 MARKS]

Concept: 1 Mark Formula: 1 Mark Application: 1 Mark rl=32 Total surface of cone=πr(l+r) Curved Surface area of the cone =πrl Their ratio πr(l+r)πrl=l+rl ⇒1+rl=5:2

The ratio of base radius to slant height of a right circular cone is 3:2. Calculate the ratio of total surface area of cone to curved surface area of the cone.(Take $π = \frac{22}{7}$ ). [3 MARKS]

Concept: 1 Mark
Formula: 1 Mark
Application: 1 Mark

$\frac{r}{l} = \frac{3}{2}$

Total surface of cone $= π r (l + r)$

Curved Surface area of the cone $= π r l$

Their ratio $\frac{π r (l + r)}{π r l} = \frac{l + r}{l}$

$\Rightarrow 1 + \frac{r}{l} = 5 : 2$