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2 years ago

What is the surface area of a sphere with a diameter of 16 cm?

Mathematics

2 answers:

alexira [117]2 years ago

4 0

C is the correct answer

daser333 [38]2 years ago

4 0

Answer:

The correct option is C. The surface area of a sphere is 256π cm².

Step-by-step explanation:

Given information: The diameter of the circle is 16 cm.

$r=\frac{d}{2}=\frac{16}{2}=8$

Radius of the circle is 8 cm.

Surface area of a sphere is

$A=4\pi r^2$

Where, r is radius.

$A=4\pi (8)^2$

$A=4\pi (64)$

$A=256\pi$

The surface area of a sphere is 256π cm². Therefore the correct option is C.

You might be interested in

How many ounces does a 2-ton rhinoceros weigh?

suter [353]

Answer:

64,000 ounces

Step-by-step explanation:

1 ton = 32,000 ounces

2 tons x 32,000 ounces (which is equal to one ton)

=64,000 ounces

2 tons = 64,000 ounces

6 0

2 years ago

16. A train travels at an average speed of 85 miles per hour. If a trip

STALIN [3.7K]

Answer:

340 miles

Step-by-step explanation:

From definition of speed, it's distance traveled per unit time

Speed=Distance/time

Making distance the subject

Distance=Speed* time

Substituting speed of 85 miles per hour and time of 4 hours

Distance=85*4=340 miles

Therefore, if the train maintains the same speed, the distance between Sue's house and Kentucky is approximately 340 miles

5 0

2 years ago

Izumi is running on a quarter-mile oval track. After running 110 yards, his coach records his time as 16 seconds.

pickupchik [31]

Answer:

14.04 miles per hour

Step-by-step explanation:

The problem is asking for Izumi's speed. The formula of speed is:

s = $\frac{d}{t}$ , where "s" means speed, "d" means distance and "t" means time.

The problem is also asking for the unit<u> miles per hou</u>r ( $\frac{miles}{hour}$ ) so, this means that we have to know how many miles Izumi ran, given that the problem only mentioned<u> yards (110 yards).</u>

Let's convert 110 yards to miles, provided that he Izumi ran 1,760 yards in a mile.

110 yards ÷ 1760 $\frac{yards}{mile}$ = 0.0625 miles (this is the distance covered by Izumi in miles)

Let's go back again to the formula: s = $\frac{d}{t}$

s = $\frac{0.0625 miles}{16 seconds}$ = 0.0039 $\frac{miles}{sec}$

Since, the we arrived at a miles per second unit, we have to convert it to miles per hour.

So, if a minute has 60 seconds, then an hour has 3,600 seconds.

Thus, 0.0039 $\frac{miles}{sec}$ × 3,600 $\frac{seconds}{hour}$ = 14.04 miles per hour (the answer)

3 0

2 years ago

600 can be written as 2^a x b x c^d. where a, b, c and d are all prime numbers. find the values of a, b, c and d

Sergeu [11.5K]

Answer:

easy one

Step-by-step explanation:

first factorise 600 as 2*2*2*3*5*5

then write as 2^3 * 3*5^2= 2^a*b*c^d

equating corresponding elements as a=3

b=1and c= 2 is the answer

8 0

2 years ago

The data below show the numbers of hours Mrs. Diaz volunteered at the library each month

vlada-n [284]

Answer:

A. 4.5

Step-by-step explanation:

Given:

20, 12, 27, 23, 18, 20, 30, 26

Mean = 22

Required:

Calculate the Mean Absolute Deviation (M.A.D)

Since, we have the mean; we start calculating M.A.D by subtracting the mean from each data

20 - 22 = -2

12 - 22 = -10

27 - 22 = 5

23 - 22 = 1

18 - 22 = -4

20 -22 = -2

30 - 22 = 8

26 - 22 = 4

The we find absolute value of the result above

|-2| = 2

|-10| = 10

|5| = 5

|1| = 1

|-4| = 4

|-2| = 2

|8| = 8

|4| = 4

Lastly, we calculate the mean of the above to give M.A.D

$M.A.D = \frac{2 + 10 + 5 + 1 + 4 + 2 + 8 + 4}{8}$

$M.A.D = \frac{36}{8}$

$M.A.D = 4.5$

Option A is correct.

3 0

2 years ago