The radius and height of a right cone are in the ratio 3:4. The ratio of the total surface area to the curved surface of the cone is:

2:3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3:5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

7:9

No worries! We‘ve got your back. Try BYJU‘S free classes today!

8:5

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
8:5

Given r:h = 3:4
Let r = 3 $x$ and h = 4 $x$

From the relation $l^{2} = h^{2} + r^{2}$

$l = \sqrt{(3 x)^{2} + (4 x)^{2}}$

$\Rightarrow l = 5 x$

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

$= \frac{π \times 3 x (3 x + 5 x)}{π \times 3 x \times 5 x}$

= 8:5

Suggest Corrections

Similar questions

The radius and height of a right cone are in the ratio $3 : 4$ . The ratio of total surface area to curved surface area of the cone is

The ratio of the radius to the height of a right cone is 3:4. Then the ratio of total surface area to curved surface of the cone is____.

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]

Join BYJU'S Learning Program

The radius and height of a right cone are in the ratio 3:4. The ratio of the total surface area to the curved surface of the cone is:

The correct option is D 8:5 Given r:h = 3:4 Let r = 3x and h = 4x From the relation l2=h2+r2 l=√(3x)2+(4x)2 ⇒l=5x Required ratio=πr(r+l)πrl =π×3x(3x+5x)π×3x×5x = 8:5

The correct option is D
8:5

Given r:h = 3:4
Let r = 3 $x$ and h = 4 $x$

From the relation $l^{2} = h^{2} + r^{2}$

$l = \sqrt{(3 x)^{2} + (4 x)^{2}}$

$\Rightarrow l = 5 x$

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

$= \frac{π \times 3 x (3 x + 5 x)}{π \times 3 x \times 5 x}$

= 8:5