All categories

4 years ago

Find the lateral area and surface area of cone

Mathematics

1 answer:

worty [1.4K]4 years ago

3 0

Answer:

$\large\boxed{L.A.=168\pi\ in^2}\\\boxed{S.A.=232\pi\ in^2}$

Step-by-step explanation:

The formula of a lateral area of a cone:

$L.A.=\pi rl$

r - radius

l - slant height

The formula of a surface area of a cone:

$S.A.=\pi r^2+\pi rl$

We have r= 8in and l = 21in. Substitute:

$L.A.=\pi(8)(21)=168\pi\ in^2$

$S.A.=\pi(8^2)+168\pi=232\pi\ in^2$

You might be interested in

We learned that multiplying by i produces a 90° counterclockwise rotation about the origin. What do we ned to

Bingel [31]

Answer:

For producing 90° rotation clockwise abut origin we have to multiply with -i

Step-by-step explanation:

We know that when we multiply with i in an number then it will give 90° counterclockwise rotation

We have to find the quantity after which it will produce 90° clockwise rotation

Generally we take counterclockwise as positive angle and clockwise as negative angle

So basically we have to produce -90° angle

For producing 90° rotation clockwise abut origin we have to multiply with -i

6 0

3 years ago

What is the simplified form of the equation 4/5n - 1/5 = 2/5n ?

Gnoma [55]

we are given

$\frac{4}{5}n -\frac{1}{5} =\frac{2}{5}n$

Firstly , we will multiply both sides by 5

$5*\frac{4}{5}n -5*\frac{1}{5} =5*\frac{2}{5}n$

now, we can simplify it

$4n-1 =2n$

$2n =1$

now, we can solve for n

$n =\frac{1}{2}$ .............Answer

8 0

4 years ago

Consider a manufacturing process that is producing hypodermic needles that will be used for blood donations. These needles need

Mars2501 [29]

Answer:

$\text{Average diameter is 1.65 mm and we decide that it is not 1.65 mm.}$

Step-by-step explanation:

We are given the following in the question:

The needle size should not be too big and too small.

The diameter of the needle should be 1.65 mm.

We design the null and the alternate hypothesis

$H_{0}: \mu = 1.65\text{ mm}\\H_A: \mu \neq 1.65\text{ mm}$

Sample size, n = 35

Sample mean, $\bar{x}$ = 1.64 mm

Sample standard deviation, s = 0.07 mm

Type I error:

It is the error of rejecting the null hypothesis when it is true.
It is also known as false positive error.
It is the rejecting of a true null hypothesis.

Thus, type I error in this study would mean we reject the null hypothesis that the average diameter is 1.65 mm but actually the average diameters of the needle is 1.65 mm.

Thus, average diameter is 1.65 mm and we decide that it is not 1.65 mm.

8 0

3 years ago

Read 2 more answers

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

uysha [10]

Answer:

B) 9

Step-by-step explanation:

Quotient means that it’s for DIVISION. The 18 is the dividend, 2 is the divisor, and the quotient is the answer:

Dividend ÷ Divisor = Quotient

18 ÷ 2 = 9

3 0

3 years ago

If you can just help me with one question it would help very very much:)

Soloha48 [4]

1) a.30
3) complementary: 12 and 78
supplementary: 102 and 78

6 0

3 years ago