Question

Easy Question

Topic: Volume

Use the other attachment to help u find the formula

Answer 1

a) 10 cm

b) Will not overflow

Explanation:

8400 = base area × height

84000 = 70 × 40 × h

h = 30

From the top: 40 - 30 = 10cm

b) Capacity of the tank:

70 × 40 × 40

112,000 cm³

Combined volume of the two vessels:

(12 × 10 × 8) + (3.14 × 10² × 10)

960 + 3140

4,100 cm³

4100 = 70 × 40 × rise

rise = 1.464285715 cm

Since 1.464285715 < 10

It will not overflow

Answer 2

see below

Explanation:

V = l*w*h for the rectangular tank

V = 70* 40*40

=112000 cm^3 = 1mL

The water is 84000

Make this a fraction

84000/112000 = 3/4

The water fills 3/4 of the tank

1-3/4 = 1/4

It is 1/4 from the top

Find the volume of the treasure chest

V = 12*10*8 =960

Tower

V = pi r^2

3.14 * 10^2 *10

=3140

Water + chest + tower

84000+960+3140 =88100

This is less than 112000 so the water will not overflow