A sphere has a volume of 30 cubic meters. What is the circumference of the sphere at its widest point?
First, solve for the radius of the of the sphere using the equation for the volume of a sphere, Volume = (4/3)*pi*(r^3). In this case that would be: 30 = (4/3)*pi*(r^3) 30*(3/4)/pi = r^3 7.16 = r^3 (find the cube root of 7.16 to solve for r) r = 1.92 meters Then, using the formula for the circumference of a circle, Circumference = pi*diameter, to solve for diameter by: C = pi*(2*1.92) (diameter is equal to 2*radius) Circumference = 12.11 meters
Solve for x: x-202.5=-12.1
x - 202.5 = -12.1 x = -12.1 + 202.5 x = 202.5 + (-12.1) x = 202.5 - 12.1 x = 190.4
Explain the downfalls of James Buchanan's presidency, and how his actions played into the start of the American Civil War.
James Buchanan's lethargic and unenthusiastic approach to dealing with the issue of slavery furthered the divide between pro and anti-slavery Americans, as he failed to be proactive to heal the rift between the two groups. Buchanan, a Democrat, was a believer in states' rights to determine if they would permit slavery in their state. This was a position popular amongst secessionists in the south. However, Buchanan did not support the secessionists in their fight to secede from the union. This alienated him from both sides and weakened his ability to impact change that could have prevented the civil war. Buchanan also was a supporter of the starkly pro-slavery Dred Scott decision, which outraged abolitionist northern Republicans. Buchanan expressed no desire to prevent a Civil War, calling the issue, "a matter of little practical importance" during his 1856 inaugural address. James Buchanan's actions, and sometimes lack thereof, contributed to the start of the American Civil war by weakening the President's ability to enact meaningful change, angering abolitionist Republicans, and by downplaying the issue of slavery, allowing the conflict to turn into an all-out Civil War.