1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dmitrij [34]
3 years ago
14

A hemispherical depression is cut out from one face of a cuboidal wooden block of edge 21cm such that the diameter of the hemisp

here is equal to the edge of the cube. Determine the total surface area of the remaining block
Mathematics
2 answers:
Mandarinka [93]3 years ago
4 0

Answer:

  (2646 +110.25π) cm² ≈ 2992.4 cm²

Step-by-step explanation:

The area of a sphere is 4 times the area of a circle with the same radius. Hence the area of a hemisphere will be 2 times the area of that circle. This means carving a hemispherical depression in the face of the cube will add an area that is equal to the area of the circular hole.

Of course the total surface area of a cube is 6 times the area of one square face. The area of a circle is ...

  A = πr² = π(d/2)² = (π/4)d²

The total surface area of the carved cube is ...

  S = 6·(21 cm)² + (π/4)·(21 cm)² = (441 cm²)(6 +π/4)

  S ≈ 2992.36 cm²

The total surface area of the remaining block is about 2992.4 cm².

joja [24]3 years ago
4 0

Answer:

(2646 +110.25π) cm² ≈ 2992.4 cm²

Step-by-step explanation:

You might be interested in
It takes Jimmy 11 minutes to sweep a porch.
lara31 [8.8K]
Like 6 minutes or somthin
4 0
3 years ago
Read 2 more answers
Which statement about the equation y = 5x – 8 is correct?
lbvjy [14]

9514 1404 393

Answer:

  A. The equation represents a linear function because the equation is in the form y = mx + b

Step-by-step explanation:

A linear function does not have to be in the form y = mx + b, but if a function is in that form, it is a linear function.

  choice A is appropriate

__

A function may have two variables, x and y, and not be a linear function. For example, y = x² is not a linear function. The fact that it has two variables is not what makes it linear.

7 0
3 years ago
Read 2 more answers
The slant height is used to find the volume of a square pyramid. true or false
alexandr1967 [171]
The answer is false.

For a square pyramid, the volume is calculated by 1/3*B*h. The height should touch the tip and lie perpendicular to the base. Slant height is used for surface area, not volume.
5 0
3 years ago
Find the angle of RMQ.
faust18 [17]

Answer:

22

Step-by-step explanation:

since there is a bisector that makes the two angles equal. you first need to find x then with x you can add the angles to get the biggest angle witch is RMQ

2x+1 = 4x-9

1=2x-9

10=2x

5=x

x=5

RMQ=2x+1+4x-9

RMQ=2(5)+1+4(5)-9

RMQ=10+1+20-9

RMQ=11+11

RMQ=22

RMQ=16

8 0
3 years ago
Show answer in lowest terms. 25/75+ 25/125=
Anit [1.1K]
Hi Jujub! To find the answer in lowest terms, first you have to find the lowest common denominator. To find this, find the lowest common multiple of 75 and 125, which is 375. Now, to make the common denominator, you have to make equivalent fractions. 375 ÷ 75 = 5, and 5 × 25 = 125. So the new fraction is 125/375.  Now the same thing for 25/125.  375 ÷ 125 = 3, and 3 × 25 is 75. So the new fraction is 75/375.  Now add the new fractions:  
125/375 + 75/375 =  200/375

This answer can be simplified to 8/15.
5 0
3 years ago
Other questions:
  • Back of last questions answer as many as possible
    6·1 answer
  • What is the area of the square if one side is 4cm? How do you know?
    9·2 answers
  • a movie was sold out for four straight days. If 535 tickets were sold each day, how many tickets were sold in all???
    8·1 answer
  • What is X divided by 4+11 that is equal to or greater than eight
    13·2 answers
  • (3,7) 4/7 in standard form show work
    8·1 answer
  • Ivan has 15 yards of green felt and 12 yards of blue felt to make 3 quilts if Ivan uses the same total number of yards for each
    14·1 answer
  • Find the equation of a line passing through the point (1, 1) and having a slope of 3.
    15·1 answer
  • Please explain in depth​
    7·1 answer
  • Which expression can be used to find 7
    15·2 answers
  • 014pts)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!