please please answer all of them
1. The lateral area of a cone is 49 in^{2} with a slant height of 7 in. Then the radius is _____ in. Round answers to the nearest tenth.
2. The surface area of a cone with a radius of 3.3 cm and slant height of 5 cm is _____ cm ^{2}. Round answers to the nearest tenth.
3. The surface area of a cone is 18.6 in^{2} with a radius of 1.2 in. Then the slant height is _____ in. Round answers to the nearest tenth.
4. The area of just the sides of a solid is called the _______.
a. 
lateral area 

b. 
none of these 

c. 
volume 

d. surface area 
Solution:
1.
The lateral area of a cone is 49 in2 with a slant height of 7 in
As we know that
The lateral area of a cone = ? r l
where r is radius and l is slant height
The lateral area of a cone = ? r l = 49
r = 49 /? l
r = 49/ (22*7/7 ) = 49/22
the radius is 2.23 in
2. The surface area of a cone with a radius of 3.3 cm and slant height of 5 cm is = ? r l + ? r^{2}
= 3.14 * 5*3.3 + 3.14 * 3.3^{2}
= 51.81 +34.19
=86.00 cm^2
3.
The surface area of a cone is 18.6 in2 with a radius of 1.2 in
using formula
? r l + ? r^{2} = 18.6
3.14 *1.2 * l + 3.14* 1.2^{2} = 18.6
l = 14.0874/(3.14*1.2) = 3.74 in
the slant height is 3.74 n.
4. The area of just the sides of a solid is called the
(a) Lateral area
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