what is the height of a cylindrical tin with radius 14cm and capacity 4804,8 cm³?
1. what is the height of a cylindrical tin with radius 14cm and capacity 4804,8 cm³?
[tex]v = \pi \times r \times r \times h \\ 4804,8 = \frac{22}{7} \times 14 \times 14 \times h \\ 4804,8 =616\times h\\ \frac{4804,8}{616} = h \\ h = 7,8 \: cm[/tex]
2. The volume of a sphere with a radius 12 cm is … cm3 .
volume = 4/3 x 3,14 x 12 x 12 x 12
= 21703,68 : 3
= 7234,56
~ Les•Online ~
3. A cylindrical solid block of a metal is to be melted to form cubes of edge 20 mm. Suppose the radius and length of the cylindrical block are 100 mm and 490 mm, respectively. Find the number of cubes to be formed. (And the working prosess please)
Jawaban:
641 cubesthe working and the answer are shown in the pic.
4. What is the volume of a cone that has a radius of 10 cm and a height of 6 cm
Jawaban:
120cm
Penjelasan dengan langkah-langkah:
3
1
×π×6×6×10=120πcm
5. In Diagram 2, the diameters of a cylindrical jar and a cylindrical container are 3d cm and d cm respectively. The jar contains water to a depth of 12 cm. The water from the jar is poured equally into 6 empty containers. Calculate the height, in cm, of water level of each container. Use [tex]\pi = \frac{22}{7} [/tex]Jawabanya=18 cm
Jawab:
Penjelasan dengan langkah-langkah:
Cj diameter = 3d
Cc diameter = d
h Cj = 12
V Cj = 6 Cc
therefore
V Cj = 6 V Cc
π (3d/2)².12 = 6 π (d/2)².h
2(9d²/4) = d²/4 h
h = 2 x 9 = 18 cm
(Lebih jelas lihat di post mu sebelumnya ya. saya buat lebih detail)
6. apa arti the area of a sphere with a radius of 3,5 cm is
area bola dengan radius 3,5 cm adalaharea bola dengan radius 3,5 cm adalah
7. the area of a circle of radius 49 cm is
Penjelasan dengan langkah-langkah:
dik: r = 49 cm
dit: luas lingkaran
luas lingkaran = π × r × r
= 22/7 × 49 × 49
= 7.546 cm2
semoga membantu :)
8. The circumference of a circle that has a radius of 15 cm is... (3.14)
K=2πr
K=2*3,14*15
K=30*3,14
K=94.2
9. a circle has a radius of 22 cm. the circumference of the circle is
Jawaban:
artinya
sebuah lingkaran memiliki jari-jari 22 cm. keliling lingkaran tersebut
Penjelasan:
maaf kalo salah
10. A cylindrical paint can has a diameter 14 cm and a height of 10 cm. Find the capacity of the can in mililitres
diameter = 14 cm
height = 10 cm
the capacity
= 1/4 × phi × diameter^2 × height
= 1/4 × 22/7 × 14 cm × 14 cm × 10 cm
= 1540 cm^3
= 1540 mililitres
so the capacity of the paint can in mililitres is 1540 mililitres
11. Mrs. Vera used 3/4 of a tub of margarine to bake a cake and 3/4 of the remaining tub of margarine to bake cookies. What fraction of the tub of margarine did she use altogether ?
Penjelasan dengan langkah-langkah:
¾ from the whole tub
1 - ¾ = ¼
¾ from the remaining tub
¾ . ¼ = 3/16
then,
¾ + 3/16 = 15/16
cmiiw
12. A circle has a radius of 56 cm. Determine the area of the circle!
r = 56
L = [tex]\pi[/tex]r²
L = 22/7 x 56 x 56
L = 9.856 cm²
Answer :Given : -
A circle radius = 56cmFind it : -
Determine the area circle!Solution : -
L = 22/7 × 56 × 56
L = 22 × 8 × 56
L = 9.856cm²
-Ihopethishelps
13. 1. A cubical bath has a side length of 90 cm. If the tub is filled with water, how many liters of water are in the tub?
Jawab:
729 liters
Penjelasan dengan langkah-langkah:
To find out how many liters of water are in the tub, we need to find the volume of the tub and then convert it to liters. Since the bathtub is a cube, the volume can be found by using the formula:
Volume = side length^3
In this case, the side length is 90 cm, so the volume is:
Volume = 90^3 cm^3
To convert cubic centimeters to liters, we divide the volume by 1000. So:
Volume = 90^3 cm^3 / 1000
= 729000 cm^3 / 1000
= 729 L
So the tub is filled with 729 liters of water.
Jawab:
Penjelasan dengan langkah-langkah:
To determine the number of liters of water in the tub, you need to calculate the volume of the tub and then convert it to liters.
The volume of a cube can be calculated by using the formula: V = s^3, where s is the length of one side of the cube.
So, for a cubical bath with a side length of 90cm, the volume of the tub is:
V = 90^3 cm^3
V = 729,000 cm^3
1 liter is equivalent to 1000 cm^3
So, to convert the volume of the tub to liters, you can divide the volume in cm^3 by 1000:
V(in liters) = 729,000 cm^3 / 1000
V(in liters) = 729 liters
Therefore, the tub contains 729 liters of water if it's filled.
14. The area of a sphere with a radius of 3.5 cm is ... cm2
luas = π x r x r
= 22/7 x 3,5 x 3,5
= 22 x 0,5 x 3,5
= 38,5 cm2
15. the area of a sphere with a radius of 3,5 cm is ..... cm
Area = 4.pi.r^2 = 4.22/7.3,5^2 = 154 cm^2
16. Find the volume of a sphere with a radius 5.8 cm
Rumus volume bola
V = 4/3 x π x r³
Keterangan :
V = volume bola.
r = jari-jari bola.=5,8 cm
π = 22/7 atau 3,14
v=4/3×3,14×5,8³
v=27479,47cm³
17. The volume of a cylindrical disc is 150 cm3. If the thickness of the disc is 2 cm, find the base radius of the disc. Give your answer correct to 3 significant figures.Tolong dong bsk ulangan :')
Jawaban:
kayaknya 734cm
Penjelasan dengan langkah-langkah:
maaf kalo salah ya
18. In Diagram 2, the diameters of a cylindrical jar and a cylindrical container are 3d cm and d cm respectively. The jar contains water to a depth of 12 cm. The water from the jar is poured equally into 6 empty containers. Calculate the height, in cm, of water level of each container.
Jawab:
Penjelasan dengan langkah-langkah:
diameter of Cylindrical Jar (Cj) = 3d cm
diameter of cylindrical container (Cc) = d cm
Height of Cj = 12 cm
Volume Cj = 6 Volume Cc
H Cc = ?
We need to make equation based on the cylinder's volume
since
V cylinder = πr²h
where radian = 1/2 d
therefore,
Volume Cj = 6 Volume Cc
π.(3d/2)².12 = 6.π.(d/2)².h (eliminate π)
[tex]\frac{9d^2}{4} \times 12= 6 \times \frac{d^2}{4} .h\\[/tex]
[tex]\frac{9d^2}{4} :\frac{d^2}{4} \times \frac{12}{6} =h[/tex]
[tex]\frac{9d^2}{4} \times \frac{4}{d^2} \times 2 = h\\h = 9 \times 2 = 18 cm[/tex]
19. the area of a sphere with a radius of 3,5 cm is ..... cm
Area = 4.pi.r^2 = 4.22/7.3,5^2 = 154 cm^2
20. The radius of circle with curcumference 37,68 cm is a.12 b.10 c.6 d.4
circumference = keliling=37,68cm
radius of circle = jari jari=?
K=2 x π x r
37,68cm= 2 x 3,14 x r
37,68cm=6,28 x r
r= 37,68cm : 6,28
r= 6cm
c. 6 cm
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