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Vsevolod [243]
4 years ago
7

Okay I need help on a couple so please help

Mathematics
1 answer:
Lina20 [59]4 years ago
3 0

Answer:

1. c

2. C

Step-by-step explanation:

For the first one :

X

– = 4, so you bring the 3 to the right side

3 And multiply with 4

Second one :

X

– = 6, so you bring the 3 to the right side

3 And multiply with 6

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17. A hemisphere of lead of radius 7 cm is cast into a right circular cone of height 49 cm. Find
Pavlova-9 [17]

Answer:

r = 3.74cm

Step-by-step explanation:

Given

Hemisphere

Radius = 7cm

Cone

Height = 49m

Required

Determine the radius of the cone

First, we calculate the volume (V1) of the hemisphere.

V_1 = \frac{2}{3}\pi r^3

Substitute 7 for r

V_1 = \frac{2}{3}\pi * 7^3

V_1 = \frac{2}{3}\pi * 343

V_1 = \frac{686}{3}\pi

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V_2 = \frac{1}{3}\pi r^2h

Because the lead is cast into a cone, then they have the same volume.

So, we have:

\frac{686}{3}\pi = \frac{1}{3}\pi r^2h

686 =  r^2h

Substitute 49 for h

686 =  r^2 * 49

Divide both sides by 49

r^2 = \frac{686}{49}

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<em>Hence, the radius of the cone is 3.74cm</em>

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