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Keith_Richards [23]
3 years ago
12

The diagram shows a plastic solid made by joining a hemisphere to a cone. The radius of the hemisphere is 5cm and the height of

the cone is 12cm.
i) Calculate the volume of the solid.

ii) Calculate the total surface area of the solid.

Mathematics
1 answer:
lilavasa [31]3 years ago
7 0

Answer:

575.8 cubic cm

Step-by-step explanation:

V(cone) = 1/3· π · r² · h

V = 1/3 · π · 25 · 12

V = 4(25)π or 100π = 314

V(half-sphere) = (4/3 · π r³)/2

V = (4/3π · 125) = 261.8

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Multiply(2.3 x 10 -5) (3.1 x 10 12)
pychu [463]

2.3*10-5=18

3.1*10 (dunno what to do with 12, there's no sign) but = 31 (that's w/o the 12)

Now multiply which = 558 (do whatever with the 12 to the equation.

5 0
3 years ago
15.
slamgirl [31]

Answer:

C.

Step-by-step explanation:

❌Option A is incorrect

Rationale: from the graph, 1 hr on the x-axis doesn't correspond to $100 on the y-axis

❌Option B is incorrect

Rationale: from the graph, 2 hrs on the x-axis doesn't correspond to $200 on the y-axis. It can't also be the unit rate because unit rate would be the amount of dollars per 1 hr.

✅Option C is CORRECT

Rationale: from the graph, 8 hrs on the x-axis corresponds to $500 on the y-axis

❌Option D is incorrect

Rationale: from the graph, 4 hr on the x-axis doesn't correspond to $300 on the y-axis

8 0
3 years ago
A rectangle has a length 6 meters longer than double the width. The perimeters is i44 meters. Find the dimensions of the rectang
Oksana_A [137]
Use the information to form an equation
x = width
x + 6 = length
perimeter = length + length + width + width
x + x + x + 6 + x + 6 = 44
4x + 12 = 44
4x = 32
x = 32/4
x = 8
width = 8 meters
length = 8 + 6 = 14 meters
8 0
3 years ago
Find the exact value of the indicated trigonometric function of θ.
Mariana [72]

Answer:

cosθ = -√(35/36)

tanθ = -1/√35

Step-by-step explanation:

We know that

sin²θ + cos²θ = 1

(1/6)² + cos²θ = 1

1 - (1/6)² = cos²θ

35/36 = cos²θ

sec θ = 1/ cosθ

1/ secθ = cos θ

Because secθ < 0, 1/ secθ would also be < 0, so cos θ < 0

cosθ = -√(35/36)

tanθ = sinθ/cosθ = (1/6)/-√(35/36)

= (1/6) / -(√35/6)

= -1/√35

8 0
3 years ago
8 × 10 + 6 − 2 7 + 5 × 8 − 4
riadik2000 [5.3K]

Answer:

95

Step-by-step explanation:

(8)(10)+6−27+(5)(8)−4

=80+6−27+(5)(8)−4

=86−27+(5)(8)−4

=59+(5)(8)−4

=59+40−4

=99−4

=95

hope this helped :)

6 0
3 years ago
Read 2 more answers
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