Question

If the total surface area of a cone of radius 7cm is 704cm2,then find its slant height​

Answer 1

QUESTION :

QUESTION :Find the slant height of the cone whose radius is 7cm and total surface area is 704 square cm.

QUESTION :Find the slant height of the cone whose radius is 7cm and total surface area is 704 square cm.SOLUTION :

QUESTION :Find the slant height of the cone whose radius is 7cm and total surface area is 704 square cm.SOLUTION :From the above Question, we can gather the following information....

QUESTION :Find the slant height of the cone whose radius is 7cm and total surface area is 704 square cm.SOLUTION :From the above Question, we can gather the following information....The radii if the cone is 7 cm.

QUESTION :Find the slant height of the cone whose radius is 7cm and total surface area is 704 square cm.SOLUTION :From the above Question, we can gather the following information....The radii if the cone is 7 cm.The total surface area of the cone is 704 sq cm.

QUESTION :Find the slant height of the cone whose radius is 7cm and total surface area is 704 square cm.SOLUTION :From the above Question, we can gather the following information....The radii if the cone is 7 cm.The total surface area of the cone is 704 sq cm.We know that:

QUESTION :Find the slant height of the cone whose radius is 7cm and total surface area is 704 square cm.SOLUTION :From the above Question, we can gather the following information....The radii if the cone is 7 cm.The total surface area of the cone is 704 sq cm.We know that:TSA of a cone = 2πrl + 2πr^ 2

QUESTION :Find the slant height of the cone whose radius is 7cm and total surface area is 704 square cm.SOLUTION :From the above Question, we can gather the following information....The radii if the cone is 7 cm.The total surface area of the cone is 704 sq cm.We know that:TSA of a cone = 2πrl + 2πr^ 2=> TSA = 2πr ( l + r )

r = 7 cm

r = 7 cmTSA = 44(l + 7 )

r = 7 cmTSA = 44(l + 7 )But TSA = 704 cm ^ 2

r = 7 cmTSA = 44(l + 7 )But TSA = 704 cm ^ 2Solving,

r = 7 cmTSA = 44(l + 7 )But TSA = 704 cm ^ 2Solving,L + 7 = 32

r = 7 cmTSA = 44(l + 7 )But TSA = 704 cm ^ 2Solving,L + 7 = 32=> L = 25 cm.

r = 7 cmTSA = 44(l + 7 )But TSA = 704 cm ^ 2Solving,L + 7 = 32=> L = 25 cm.So the slant height of the cone is 25 cm.

r = 7 cmTSA = 44(l + 7 )But TSA = 704 cm ^ 2Solving,L + 7 = 32=> L = 25 cm.So the slant height of the cone is 25 cm.ANSWER :

r = 7 cmTSA = 44(l + 7 )But TSA = 704 cm ^ 2Solving,L + 7 = 32=> L = 25 cm.So the slant height of the cone is 25 cm.ANSWER :The slant height of the cone is 25 cm.

I hope it will help you

Answer 2

Answer:

Given :-

• The total surface area of a cone of radius 7 cm is 704 cm².

To Find :-

• What is the slant height of a cone.

Formula Used :-

$\clubsuit$ Total surface area or TSA of Cone Formula :

$\mapsto \sf\boxed{\bold{\pink{Total\: Surface\: Area_{(Cone)} =\: {\pi}r(l + r)}}}$

where,

• r = Radius
• l = Slant Height
• π = pie (22/7)

Solution :-

Given :

$\bigstar\: \rm{\bold{Total\: Surface\: Area =\: 704\: cm^2}}$

$\bigstar\: \rm{\bold{Radius =\: 7\: cm}}$

Let,

$\mapsto \sf\bold{\purple{Slant\: Height =\: l\: cm}}$

According to the question by using the formula we get,

$\longrightarrow \sf \dfrac{22}{\cancel{7}} \times {\cancel{7}}(l + 7) =\: 704$

$\longrightarrow \sf 22(l + 7) =\: 704$

$\longrightarrow \sf 22l + 154 =\: 704$

$\longrightarrow \sf 22l =\: 704 - 154$

$\longrightarrow \sf 22l =\: 550$

$\longrightarrow \sf l =\: \dfrac{\cancel{550}}{\cancel{22}}$

$\longrightarrow \sf l =\: \dfrac{25}{1}$

$\longrightarrow \sf\bold{\red{l =\: 25\: cm}}$

$\leadsto \sf\bold{\green{Slant\: Height =\: 25\: cm}}$

$\therefore$ The slant height of a cone is 25 cm .