Answer:
45cm
Step-by-step explanation:
Volume of a sphere = 4/3πr³
Volume of an hemisphere = 1/2 of volume of a sphere
Volume of hemisphere = 1/2{4/3πr³}
Volume of hemisphere = 2/3πr³
Given
Volume of the hemisphere = 60,750πcm³
60,750π = 2/3πr³
π cancels out
60,750 = 2/3r³
Multiply both sides by 3
2r³ = 60,750×3
2r³=182,250
Divide both sides by 2
r³ = 91,125
Find the ∛ of 91,125 to eliminate the cube on r
r = ∛91,125
r = 45cm
6900 ft is the answer. 6500 + 400 = 6900.
Answer:
35
Step-by-step explanation:
In the diagram, PL and OP are equal. PL is given to be 17.5 units, so OP is also 17.5 units.
Since PL and OP are on the same line, the length of LO is the sum of the lengths of PL and OP.
LO = 17.5 + 17.5
LO = 35
First find the gradient of line AB
14--3/7--10
17/17 = 1
As CD is perpendicular to AB take the negative reciprocal of the gradient to AB to find gradient of CD
Gradient of CD = -1
to find y intercept use points given
12=(-1 x 5) +c
17 = c
C is the y intercept so for question 1 the answer is 3
for the second question just plug values into the equation and see if you get the right y value
Here the only number that works is -2
for question 2
the answer is 2
Answer:
Step-by-step explanation:
⇒ 3(4a + 2)
⇒ 3(4a) + 3(2)
⇒ 12a + 6
