Given:
Volume of toy=231 cm³
Diameter of a hemisphere= 7 cm
cone and hemisphere have equal radius.
radius of hemisphere = radius of cone = 3.5 cm
Height of hemisphere= radius of hemisphere= 3.5 cm
Let H be the height of toy
H= height of cone+ height of hemisphere
H = h + r , ( h = height of cone)
H = h + 3.5
volume of toy = volume of cone + volume of hemisphere
Volume of toy= 1/3πr²h + 2/3πr³
Volume of toy=πr²/3(h+2r)
231 = (22/7)×(3.5)² ×(1/3)(h+2×3.5)
231×3 =( 22×3.5×3.5)/7 (h+7)
h+7 = (231×3×7)/(3.5×3.5×22)
h+7 = (3×3)/(.5×.5×2)
h+7= 900 /50= 90/5= 18
h+7= 18
h=18-7
h= 11 cm
Height of toy = h+r
Height of toy = 11+3.5= 14.5
Height of toy =14.5 cm
Hence, the height of the toy = 13.5 cm
Answer:
The person will feel dizzy.
A) To cook 1/2 cup of rice, the package tells you that you also need 1 cup of water. The the total volume of ingredients is
.. 1/2 c + 1 c = 1 1/2 c
b) According to the package the ratio of water to rice is
.. water : rice = 1 : 1/2 = 2 : 1
Then the ratio of water to total ingredients is
.. water : (water + rice) = 2 : (2 +1) = 2 : 3
Susan's ratio is incorrect. Susan is using "1" for the total of ingredients, instead of 2+1 = 3. The correct ratio is 2:3.
