0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

Find the surface area of a conical hat, if its slant height is three times the radius and the base diameter of a hat is 4 inches. (Use π=3).
  1. 48 in2
  2. 36 in2
  3. 48 in
  4. 46 in2

A
48 in2
B
36 in2
C
48 in
D
46 in2
Solution
Verified by Toppr

We know, the total surface area of a cone is A=πr(r+l).

But since it a hat, therefore, we will have to subtract the circular area because the hat is not completely covered with a circular part.

Here, the diameter is 4 inch and therefore, the radius is half of diameter that is r=2 inch and it is also given that slant height is thrice the radius that is l=(3×2)=6 inch. We use π=3.

Thus,
Area of hat=πr(r+l)πr2=3×2(2+6)3×2×2=3×2×812=36 in2.

Hence, the surface area of the conical hat is 36 in2.

Therefore, option B is correct.

Was this answer helpful?
0
Similar Questions
Q1
Find the surface area of a conical hat, if its slant height is three times the radius and the base diameter of a hat is 4 inches. (Use π=3).
View Solution
Q2
The total surface area of a conical jar is 740ft2. If its slant height is two times the radius, then what is the base diameter of the conical jar? (use π=3).
View Solution
Q3
Total surface area of a cone is 616 sq.cm. If the slant height of the cone is three times the radius of its base, find its slant height.
View Solution
Q4
Note Use π=227, unless stated otherwise.
Find the total surface area of a cone, if its slant height is 21 m and diameter of its base is 24 m.
View Solution
Q5

From a solid cylinder of height 7n cm and base diameter 12 cm, a conical cavity of same height and same base diameter is hollowed out. Find the total surface area of the remaining solid. [Use =227]
OR
A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, then find the radius and slant height of the heap.

View Solution