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Nostrana [21]
2 years ago
5

38. What is the surface area of a conical grain storage tank that has a height of 62 meters and a diameter of 24 meters? Round t

he answer to the nearest square meter.
A) 2,381 m^2
B) 2,790 m^2
C) 2,833 m^2
D) 6,571 m^2

Mathematics
2 answers:
svetoff [14.1K]2 years ago
8 0
1. The surface area of a cone S is S= \pi  r^{2}+  \pi rl, where r is the radius of the base and l is the slant height.

2. The slant height l is found as follows:

l^{2}= OC^{2}+ OB^{2}
l^{2}= 12^{2}+ 62^{2}=144+3844=3988

l= \sqrt{3988}=63.15

3. 

A=\pi r^{2}+ \pi rl=3.14(12)^{2}+3.14*12*63.15

= 452.16+2379.492 =2831.652 ( m^{2} )

 = 452.16+2379.492 =2831.652 ( m^{2} )

4. The answer is C

photoshop1234 [79]2 years ago
5 0

Answer:

Option C - 2833 sq.m.

Step-by-step explanation:

Given : A conical grain storage tank that has a height of 62 meters and a diameter of 24 meters.

To find : What is the surface area of a conical grain storage tank?

Solution :  

The formula of  surface area of a conical grain storage tank is

S=\pi r(r+l)

Where, r is the radius and l is the slant height.

Height of conical tank = 62 m

Diameter of conical tank = 24 m

Radius of conical tank = 12 m

The slant height is

l=\sqrt{r^2+h^2}

l=\sqrt{12^2+62^2}

l=\sqrt{144+3844}

l=\sqrt{3988}

l=63.15

Substitute r and l in the formula,

S=3.14\times 12(12+63.15)

S=3.14\times 12\times 75.15

S=2831.67

Approximately, S=2833m^2

Therefore, Option C is correct.

The surface area of a conical grain storage tank is 2833 sq. m.

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