diff --git a/skimage/draw/tests/test_draw3d.py b/skimage/draw/tests/test_draw3d.py
index f529718a..a455e947 100644
--- a/skimage/draw/tests/test_draw3d.py
+++ b/skimage/draw/tests/test_draw3d.py
@@ -102,18 +102,18 @@ def test_ellipsoid_levelset():
 def test_ellipsoid_stats():
     # Test comparison values generated by Wolfram Alpha
     vol, surf = ellipsoid_stats(6, 10, 16)
-    assert(round(1280 * np.pi, 4) == round(vol, 4))
-    assert(1383.28 == round(surf, 2))
+    assert_allclose(1280 * np.pi, vol, atol=1e-4)
+    assert_allclose(1383.28, surf, atol=1e-2)
 
     # Test when a <= b <= c does not hold
     vol, surf = ellipsoid_stats(16, 6, 10)
-    assert(round(1280 * np.pi, 4) == round(vol, 4))
-    assert(1383.28 == round(surf, 2))
+    assert_allclose(1280 * np.pi, vol, atol=1e-4))
+    assert_allclose(1383.28, surf, atol=1e-2)
 
     # Larger test to ensure reliability over broad range
     vol, surf = ellipsoid_stats(17, 27, 169)
-    assert(round(103428 * np.pi, 4) == round(vol, 4))
-    assert(37426.3 == round(surf, 1))
+    assert_allclose(103428 * np.pi, vol, atol=1e-4))
+    assert_allclose(37426.3, surf, atol=1e-1)
 
 
 if __name__ == "__main__":